%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP240-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:13:25 AM UTC 2026
% Result : Unsatisfiable 0.54s 1.02s
% Output : Refutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 76
% Syntax : Number of formulae : 419 ( 25 unt; 21 def)
% Number of atoms : 1281 ( 433 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1555 ( 693 ~; 841 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f15,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( inverse(sk_c10) = sk_c9
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( inverse(sk_c10) = sk_c9
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c10 = inverse(sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c9) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c10 = inverse(sk_c9)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c9) = sk_c10
| multiply(sk_c5,sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c10 = inverse(sk_c9)
| sk_c9 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c9) = sk_c10
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c10 = inverse(sk_c9)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c9) = sk_c10
| multiply(sk_c6,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c10 = inverse(sk_c9)
| sk_c9 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c9) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c10 = inverse(sk_c9)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c9) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c10 = inverse(sk_c9)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c9) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c10 = inverse(sk_c9)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c5,sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c6,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c9 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c9 = inverse(sk_c1)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c5,sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c9 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c6,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c9 = inverse(sk_c1)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c5,sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c9 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c6,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c9 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f80,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f82,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f84,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f86,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f88,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| multiply(sk_c5,sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f90,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f92,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| multiply(sk_c6,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f94,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f93]) ).
fof(f95,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f96,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f95]) ).
fof(f97,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f98,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f97]) ).
fof(f99,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f100,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f102,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c4,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f104,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f103]) ).
fof(f105,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c5,sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f106,plain,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f105]) ).
fof(f107,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f108,plain,
( sk_c10 = inverse(sk_c2)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f107]) ).
fof(f109,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c6,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
fof(f110,plain,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c6,sk_c10) ),
inference(reorient_equations,[],[f109]) ).
fof(f111,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
fof(f112,plain,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f111]) ).
fof(f113,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f114,plain,
( sk_c10 = inverse(sk_c2)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f113]) ).
fof(f115,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
fof(f116,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f115]) ).
fof(f117,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c10) != sk_c9
| inverse(sk_c9) != sk_c10
| multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c9
| multiply(sk_c10,X1) != sk_c9
| multiply(X2,sk_c10) != X1
| inverse(X2) != sk_c10
| inverse(X3) != sk_c10
| multiply(X3,sk_c9) != sk_c10
| multiply(X4,X5) != sk_c9
| inverse(X4) != X5
| multiply(X5,sk_c10) != sk_c9
| multiply(sk_c10,X6) != sk_c9
| multiply(X7,sk_c10) != X6
| inverse(X7) != sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
fof(f118,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c10) != sk_c9
| sk_c10 != inverse(sk_c9)
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c9 != multiply(sk_c10,X1)
| multiply(X2,sk_c10) != X1
| sk_c10 != inverse(X2)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c9 != multiply(X5,sk_c10)
| sk_c9 != multiply(sk_c10,X6)
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X7) ),
inference(reorient_equations,[],[f117]) ).
fof(f119,plain,
! [X2,X3,X0,X6,X7,X4,X5] :
( inverse(sk_c10) != sk_c9
| sk_c10 != inverse(sk_c9)
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| sk_c10 != inverse(X2)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c9 != multiply(X5,sk_c10)
| sk_c9 != multiply(sk_c10,X6)
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X7) ),
inference(equality_resolution,[],[f118]) ).
fof(f120,plain,
! [X2,X3,X0,X6,X7,X4] :
( inverse(sk_c10) != sk_c9
| sk_c10 != inverse(sk_c9)
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| sk_c10 != inverse(X2)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(sk_c10,X6)
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X7) ),
inference(equality_resolution,[],[f119]) ).
fof(f121,plain,
! [X2,X3,X0,X7,X4] :
( inverse(sk_c10) != sk_c9
| sk_c10 != inverse(sk_c9)
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| sk_c10 != inverse(X2)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7) ),
inference(equality_resolution,[],[f120]) ).
fof(f123,definition,
( spl0_1
<=> ! [X7] :
( sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f124,plain,
( ! [X7] :
( sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,definition,
( spl0_2
<=> ! [X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f127,plain,
( ! [X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,definition,
( spl0_3
<=> ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f130,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,definition,
( spl0_4
<=> ! [X0] :
( sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f133,plain,
( ! [X0] :
( inverse(X0) != sk_c9
| sk_c10 != multiply(X0,sk_c9) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,definition,
( spl0_5
<=> sk_c10 = inverse(sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f136,plain,
( sk_c10 = inverse(sk_c9)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f137,plain,
( sk_c10 != inverse(sk_c9)
| spl0_5 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl0_6
<=> inverse(sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f140,plain,
( inverse(sk_c10) = sk_c9
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f141,plain,
( inverse(sk_c10) != sk_c9
| spl0_6 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f121,f139,f135,f132,f123,f129,f126,f123]) ).
fof(f144,definition,
( spl0_7
<=> sk_c10 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f146,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f148,definition,
( spl0_8
<=> sk_c10 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f150,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f116,f148,f144]) ).
fof(f153,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c7,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f155,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f156,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f114,f148,f153]) ).
fof(f158,definition,
( spl0_10
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f160,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f112,f148,f158]) ).
fof(f163,definition,
( spl0_11
<=> sk_c9 = multiply(sk_c6,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f165,plain,
( sk_c9 = multiply(sk_c6,sk_c10)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f166,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f110,f148,f163]) ).
fof(f168,definition,
( spl0_12
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f170,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f171,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f108,f148,f168]) ).
fof(f173,definition,
( spl0_13
<=> sk_c9 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f175,plain,
( sk_c9 = multiply(sk_c5,sk_c6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f176,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f106,f148,f173]) ).
fof(f178,definition,
( spl0_14
<=> sk_c10 = multiply(sk_c4,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f180,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f181,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f104,f148,f178]) ).
fof(f183,definition,
( spl0_15
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f185,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f186,plain,
( spl0_15
| spl0_8 ),
inference(avatar_split_clause,[],[f102,f148,f183]) ).
fof(f188,definition,
( spl0_16
<=> sk_c3 = multiply(sk_c2,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f190,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f191,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f100,f188,f144]) ).
fof(f192,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f98,f188,f153]) ).
fof(f193,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f96,f188,f158]) ).
fof(f194,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f94,f188,f163]) ).
fof(f195,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f92,f188,f168]) ).
fof(f196,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f90,f188,f173]) ).
fof(f197,plain,
( spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f88,f188,f178]) ).
fof(f198,plain,
( spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f86,f188,f183]) ).
fof(f200,definition,
( spl0_17
<=> sk_c9 = multiply(sk_c10,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f202,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,plain,
( spl0_7
| spl0_17 ),
inference(avatar_split_clause,[],[f84,f200,f144]) ).
fof(f204,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f82,f200,f153]) ).
fof(f205,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f80,f200,f158]) ).
fof(f206,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f78,f200,f163]) ).
fof(f207,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f76,f200,f168]) ).
fof(f208,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f74,f200,f173]) ).
fof(f209,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f72,f200,f178]) ).
fof(f210,plain,
( spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f70,f200,f183]) ).
fof(f212,definition,
( spl0_18
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f214,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f215,plain,
( spl0_7
| spl0_18 ),
inference(avatar_split_clause,[],[f68,f212,f144]) ).
fof(f216,plain,
( spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f66,f212,f153]) ).
fof(f217,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f64,f212,f158]) ).
fof(f218,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f62,f212,f163]) ).
fof(f219,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f60,f212,f168]) ).
fof(f220,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f58,f212,f173]) ).
fof(f221,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f56,f212,f178]) ).
fof(f222,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f54,f212,f183]) ).
fof(f224,definition,
( spl0_19
<=> sk_c10 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f226,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f227,plain,
( spl0_7
| spl0_19 ),
inference(avatar_split_clause,[],[f52,f224,f144]) ).
fof(f228,plain,
( spl0_9
| spl0_19 ),
inference(avatar_split_clause,[],[f50,f224,f153]) ).
fof(f229,plain,
( spl0_10
| spl0_19 ),
inference(avatar_split_clause,[],[f48,f224,f158]) ).
fof(f230,plain,
( spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f46,f224,f163]) ).
fof(f231,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f44,f224,f168]) ).
fof(f232,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f42,f224,f173]) ).
fof(f233,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f40,f224,f178]) ).
fof(f234,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f38,f224,f183]) ).
fof(f235,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f36,f135,f144]) ).
fof(f236,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f34,f135,f153]) ).
fof(f237,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f32,f135,f158]) ).
fof(f238,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f30,f135,f163]) ).
fof(f239,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f135,f168]) ).
fof(f240,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f26,f135,f173]) ).
fof(f241,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f24,f135,f178]) ).
fof(f242,plain,
( spl0_15
| spl0_5 ),
inference(avatar_split_clause,[],[f22,f135,f183]) ).
fof(f243,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f20,f139,f144]) ).
fof(f244,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f139,f153]) ).
fof(f245,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f139,f158]) ).
fof(f251,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl0_7 ),
inference(superposition,[],[f3,f146]) ).
fof(f253,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_15 ),
inference(superposition,[],[f3,f185]) ).
fof(f256,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f257,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| ~ spl0_10 ),
inference(superposition,[],[f4,f160]) ).
fof(f260,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f165]) ).
fof(f262,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f256,f1]) ).
fof(f265,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f251]) ).
fof(f266,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f265,f1]) ).
fof(f274,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f266,f155]) ).
fof(f280,plain,
( sk_c10 = sk_c9
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f274,f160]) ).
fof(f290,plain,
( sk_c10 != inverse(sk_c10)
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f137,f280]) ).
fof(f291,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f260,f280]) ).
fof(f309,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f291,f253]) ).
fof(f328,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c10),multiply(sk_c9,X0))
| ~ spl0_10 ),
inference(superposition,[],[f262,f257]) ).
fof(f332,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_10 ),
inference(superposition,[],[f262,f160]) ).
fof(f334,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c10)
| ~ spl0_14 ),
inference(superposition,[],[f262,f180]) ).
fof(f336,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c9)
| ~ spl0_13 ),
inference(superposition,[],[f262,f175]) ).
fof(f351,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f336,f280]) ).
fof(f353,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f334,f185]) ).
fof(f354,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f332,f280]) ).
fof(f356,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c10),multiply(sk_c10,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f328,f280]) ).
fof(f358,plain,
( sk_c6 = multiply(sk_c6,sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f351,f170]) ).
fof(f360,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f353,f280]) ).
fof(f361,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f354,f3]) ).
fof(f362,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f356,f262]) ).
fof(f364,plain,
( sk_c9 = sk_c6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f358,f165]) ).
fof(f365,plain,
( sk_c10 = sk_c6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f364,f280]) ).
fof(f376,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f309,f361]) ).
fof(f377,plain,
( sk_c8 = multiply(sk_c10,sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f376,f365]) ).
fof(f378,plain,
( sk_c9 = sk_c8
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f377,f160]) ).
fof(f379,plain,
( sk_c10 = sk_c8
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f378,f280]) ).
fof(f392,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f262,f360]) ).
fof(f394,plain,
( identity = sk_c10
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f392,f3]) ).
fof(f398,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f362,f379]) ).
fof(f412,plain,
( identity = sk_c4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f253,f398]) ).
fof(f420,plain,
( sk_c10 = sk_c4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f412,f394]) ).
fof(f438,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f185,f420]) ).
fof(f439,plain,
( $false
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f438,f290]) ).
fof(f440,plain,
( spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f446,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f136,f280]) ).
fof(f447,plain,
( sk_c10 != inverse(sk_c10)
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f141,f280]) ).
fof(f452,plain,
( $false
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f447,f446]) ).
fof(f453,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f454,plain,
( ! [X0] :
( sk_c10 != multiply(X0,sk_c10)
| inverse(X0) != sk_c9 )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f133,f280]) ).
fof(f456,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c10) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f454,f280]) ).
fof(f468,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f456,f446]) ).
fof(f474,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f468]) ).
fof(f478,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f474,f360]) ).
fof(f479,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f484,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c10)
| sk_c10 != inverse(X7) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f124,f398]) ).
fof(f485,plain,
( ! [X7] :
( sk_c10 != inverse(X7)
| sk_c10 != multiply(X7,sk_c10) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f484,f280]) ).
fof(f487,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f485,f185]) ).
fof(f491,plain,
( sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f487]) ).
fof(f495,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f491,f420]) ).
fof(f500,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f495,f360]) ).
fof(f501,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f502,plain,
( ! [X4] :
( sk_c10 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f127,f280]) ).
fof(f503,plain,
( ! [X4] :
( sk_c10 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X4,inverse(X4)) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f502,f280]) ).
fof(f504,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f503,f446]) ).
fof(f509,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f504]) ).
fof(f514,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f509,f360]) ).
fof(f515,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f548,plain,
( sk_c6 = multiply(sk_c6,sk_c9)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f336,f170]) ).
fof(f550,plain,
( identity = multiply(sk_c10,sk_c9)
| ~ spl0_5 ),
inference(superposition,[],[f3,f136]) ).
fof(f552,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl0_6 ),
inference(superposition,[],[f3,f140]) ).
fof(f557,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_16 ),
inference(superposition,[],[f262,f190]) ).
fof(f559,plain,
( sk_c10 = multiply(sk_c10,sk_c3)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f557,f150]) ).
fof(f574,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c4,sk_c9)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f130,f185]) ).
fof(f576,plain,
( sk_c10 != sk_c9
| sk_c10 != multiply(sk_c1,sk_c9)
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f130,f214]) ).
fof(f579,plain,
( sk_c10 != multiply(sk_c4,sk_c9)
| ~ spl0_3
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f574]) ).
fof(f581,plain,
( sk_c10 != sk_c9
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f576,f226]) ).
fof(f591,plain,
( $false
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f579,f180]) ).
fof(f592,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f595,definition,
( spl0_22
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f596,plain,
( sk_c10 = sk_c9
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f603,plain,
( ~ spl0_22
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f581,f224,f212,f129,f595]) ).
fof(f620,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f262,f548]) ).
fof(f622,plain,
( identity = sk_c9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f620,f3]) ).
fof(f651,plain,
( sk_c10 = sk_c9
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f202,f559]) ).
fof(f667,plain,
( spl0_22
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f651,f200,f188,f148,f595]) ).
fof(f671,plain,
( sk_c9 != sk_c9
| sk_c10 != multiply(sk_c1,sk_c9)
| ~ spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f133,f214]) ).
fof(f673,plain,
( sk_c10 != multiply(sk_c1,sk_c9)
| ~ spl0_4
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f671]) ).
fof(f680,plain,
( $false
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f673,f226]) ).
fof(f681,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f680]) ).
fof(f690,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_5
| ~ spl0_22 ),
inference(superposition,[],[f136,f596]) ).
fof(f692,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f226,f596]) ).
fof(f708,plain,
( ! [X4] :
( sk_c10 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10) )
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f127,f596]) ).
fof(f709,plain,
( ! [X4] :
( sk_c10 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X4,inverse(X4)) )
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f708,f596]) ).
fof(f723,plain,
( sk_c10 != multiply(sk_c9,sk_c10)
| sk_c10 != multiply(sk_c10,sk_c9)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_22 ),
inference(superposition,[],[f709,f140]) ).
fof(f734,plain,
( identity != sk_c10
| sk_c10 != multiply(sk_c10,sk_c9)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f723,f552]) ).
fof(f737,definition,
( spl0_26
<=> sk_c10 = multiply(sk_c10,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f748,plain,
( sk_c10 != sk_c9
| sk_c10 != multiply(sk_c10,sk_c9)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f734,f622]) ).
fof(f753,plain,
( sk_c10 != multiply(sk_c10,sk_c9)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f748,f596]) ).
fof(f760,plain,
( identity != sk_c10
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f753,f550]) ).
fof(f762,plain,
( sk_c10 != sk_c9
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f760,f622]) ).
fof(f765,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f762,f596]) ).
fof(f766,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f788,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_22 ),
inference(superposition,[],[f709,f690]) ).
fof(f791,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f788]) ).
fof(f793,plain,
( ~ spl0_26
| ~ spl0_2
| ~ spl0_5
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f791,f595,f135,f126,f737]) ).
fof(f796,plain,
( sk_c10 = multiply(inverse(sk_c1),sk_c10)
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f262,f692]) ).
fof(f798,plain,
( sk_c10 = multiply(sk_c9,sk_c10)
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f796,f214]) ).
fof(f799,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f798,f596]) ).
fof(f802,plain,
( ! [X7] :
( sk_c10 != inverse(X7)
| sk_c10 != multiply(sk_c10,multiply(X7,sk_c10)) )
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f124,f596]) ).
fof(f803,plain,
( spl0_26
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f799,f595,f224,f212,f737]) ).
fof(f808,plain,
( sk_c10 != sk_c9
| sk_c10 != multiply(sk_c10,multiply(sk_c1,sk_c10))
| ~ spl0_1
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f802,f214]) ).
fof(f814,plain,
( sk_c10 != multiply(sk_c10,multiply(sk_c1,sk_c10))
| ~ spl0_1
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f808,f596]) ).
fof(f820,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f814,f692]) ).
fof(f822,plain,
( ~ spl0_26
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f820,f595,f224,f212,f123,f737]) ).
cnf(s1,plain,
( spl0_1
| spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f142]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f151]) ).
cnf(s4,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f156]) ).
cnf(s5,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f161]) ).
cnf(s6,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f166]) ).
cnf(s7,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f171]) ).
cnf(s8,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f176]) ).
cnf(s9,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f181]) ).
cnf(s10,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f186]) ).
cnf(s11,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f191]) ).
cnf(s12,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f192]) ).
cnf(s13,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f193]) ).
cnf(s14,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f194]) ).
cnf(s15,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f195]) ).
cnf(s16,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f196]) ).
cnf(s17,plain,
( spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f197]) ).
cnf(s18,plain,
( spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f198]) ).
cnf(s19,plain,
( spl0_7
| spl0_17 ),
inference(sat_conversion,[],[f203]) ).
cnf(s20,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f204]) ).
cnf(s21,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f205]) ).
cnf(s22,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f206]) ).
cnf(s23,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f207]) ).
cnf(s24,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f208]) ).
cnf(s25,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f209]) ).
cnf(s26,plain,
( spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f210]) ).
cnf(s27,plain,
( spl0_7
| spl0_18 ),
inference(sat_conversion,[],[f215]) ).
cnf(s28,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f216]) ).
cnf(s29,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f217]) ).
cnf(s30,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f218]) ).
cnf(s31,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f219]) ).
cnf(s32,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f220]) ).
cnf(s33,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f221]) ).
cnf(s34,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f222]) ).
cnf(s35,plain,
( spl0_7
| spl0_19 ),
inference(sat_conversion,[],[f227]) ).
cnf(s36,plain,
( spl0_9
| spl0_19 ),
inference(sat_conversion,[],[f228]) ).
cnf(s37,plain,
( spl0_10
| spl0_19 ),
inference(sat_conversion,[],[f229]) ).
cnf(s38,plain,
( spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f230]) ).
cnf(s39,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f231]) ).
cnf(s40,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f232]) ).
cnf(s41,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f233]) ).
cnf(s42,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f234]) ).
cnf(s43,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f235]) ).
cnf(s44,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f236]) ).
cnf(s45,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f237]) ).
cnf(s46,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f238]) ).
cnf(s47,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f239]) ).
cnf(s48,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f240]) ).
cnf(s49,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f241]) ).
cnf(s50,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f242]) ).
cnf(s51,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f243]) ).
cnf(s52,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f244]) ).
cnf(s53,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f245]) ).
cnf(s59,plain,
( spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f440]) ).
cnf(s60,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f453]) ).
cnf(s61,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f479]) ).
cnf(s66,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f501]) ).
cnf(s67,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f515]) ).
cnf(s76,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f592]) ).
cnf(s78,plain,
( ~ spl0_3
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(sat_conversion,[],[f603]) ).
cnf(s82,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_17
| spl0_22 ),
inference(sat_conversion,[],[f667]) ).
cnf(s85,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f681]) ).
cnf(s94,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(sat_conversion,[],[f766]) ).
cnf(s100,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_22
| ~ spl0_26 ),
inference(sat_conversion,[],[f793]) ).
cnf(s102,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_22
| spl0_26 ),
inference(sat_conversion,[],[f803]) ).
cnf(s104,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22
| ~ spl0_26 ),
inference(sat_conversion,[],[f822]) ).
cnf(s106,plain,
spl0_5,
inference(rat,[],[s59,s43,s44,s45,s46,s47,s48,s49,s50]) ).
cnf(s107,plain,
spl0_6,
inference(rat,[],[s60,s51,s52,s53,s106]) ).
cnf(s109,plain,
( spl0_15
| ~ spl0_4 ),
inference(rat,[],[s85,s34,s42]) ).
cnf(s110,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s85,s33,s41]) ).
cnf(s111,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s85,s29,s37]) ).
cnf(s112,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s85,s28,s36]) ).
cnf(s113,plain,
( ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_4
| ~ spl0_10 ),
inference(rat,[],[s85,s27,s35,s61,s106]) ).
cnf(s114,plain,
~ spl0_4,
inference(rat,[],[s113,s112,s111,s110,s109]) ).
cnf(s115,plain,
( spl0_15
| ~ spl0_3 ),
inference(rat,[],[s82,s78,s10,s18,s26,s34,s42]) ).
cnf(s116,plain,
( ~ spl0_15
| ~ spl0_3 ),
inference(rat,[],[s82,s78,s9,s17,s25,s33,s41,s76]) ).
cnf(s117,plain,
~ spl0_3,
inference(rat,[],[s116,s115]) ).
cnf(s118,plain,
( spl0_15
| ~ spl0_2 ),
inference(rat,[],[s102,s100,s82,s10,s18,s26,s34,s42,s106]) ).
cnf(s119,plain,
( ~ spl0_22
| ~ spl0_19
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s102,s100,s106]) ).
cnf(s120,plain,
( spl0_10
| spl0_22 ),
inference(rat,[],[s82,s5,s13,s21]) ).
cnf(s121,plain,
( spl0_9
| spl0_22 ),
inference(rat,[],[s82,s4,s12,s20]) ).
cnf(s122,plain,
( spl0_22
| ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s82,s3,s11,s19,s67,s121,s120,s118,s106]) ).
cnf(s123,plain,
( spl0_19
| ~ spl0_22
| ~ spl0_2 ),
inference(rat,[],[s94,s39,s40,s106,s107]) ).
cnf(s124,plain,
( ~ spl0_19
| ~ spl0_22
| ~ spl0_2 ),
inference(rat,[],[s94,s31,s32,s119,s107,s106]) ).
cnf(s125,plain,
( ~ spl0_22
| ~ spl0_2 ),
inference(rat,[],[s124,s123]) ).
cnf(s126,plain,
( spl0_22
| ~ spl0_2 ),
inference(rat,[],[s82,s9,s17,s25,s122]) ).
cnf(s127,plain,
~ spl0_2,
inference(rat,[],[s126,s125]) ).
cnf(s128,plain,
spl0_1,
inference(rat,[],[s2,s106,s114,s107,s117,s127]) ).
cnf(s129,plain,
( spl0_17
| ~ spl0_15
| ~ spl0_14
| spl0_22 ),
inference(rat,[],[s66,s19,s22,s23,s24,s120,s121,s128]) ).
cnf(s130,plain,
( spl0_16
| ~ spl0_15
| ~ spl0_14
| spl0_22 ),
inference(rat,[],[s66,s11,s14,s15,s16,s120,s121,s128]) ).
cnf(s131,plain,
( ~ spl0_15
| ~ spl0_14
| spl0_22 ),
inference(rat,[],[s66,s3,s6,s7,s8,s82,s130,s129,s120,s121,s128]) ).
cnf(s132,plain,
( spl0_15
| spl0_22 ),
inference(rat,[],[s82,s10,s18,s26]) ).
cnf(s133,plain,
( ~ spl0_15
| spl0_22 ),
inference(rat,[],[s82,s9,s17,s25,s131]) ).
cnf(s134,plain,
spl0_22,
inference(rat,[],[s133,s132]) ).
cnf(s135,plain,
( ~ spl0_19
| ~ spl0_18 ),
inference(rat,[],[s102,s104,s128,s134]) ).
cnf(s136,plain,
spl0_18,
inference(rat,[],[s66,s27,s28,s29,s30,s31,s32,s33,s34,s128]) ).
cnf(s137,plain,
~ spl0_19,
inference(rat,[],[s135,s136]) ).
cnf(s138,plain,
spl0_15,
inference(rat,[],[s42,s137]) ).
cnf(s139,plain,
spl0_14,
inference(rat,[],[s41,s137]) ).
cnf(s140,plain,
spl0_13,
inference(rat,[],[s40,s137]) ).
cnf(s141,plain,
spl0_12,
inference(rat,[],[s39,s137]) ).
cnf(s142,plain,
spl0_11,
inference(rat,[],[s38,s137]) ).
cnf(s143,plain,
spl0_10,
inference(rat,[],[s37,s137]) ).
cnf(s144,plain,
spl0_9,
inference(rat,[],[s36,s137]) ).
cnf(s145,plain,
spl0_7,
inference(rat,[],[s35,s137]) ).
cnf(s147,plain,
$false,
inference(rat,[],[s66,s138,s139,s142,s143,s144,s145,s128,s140,s141]) ).
fof(f825,plain,
$false,
inference(avatar_sat_refutation,[],[s147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP240-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n019.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 09:38:50 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/1.02 % (2840370)Input is clausal, will run a generic CNF schedule.
% 0.54/1.02 % (2840394)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1425103783:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.54/1.02 % (2840392)lrs+10_1_sil=8000:sp=occurrence:random_seed=2463055129:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.54/1.02 % (2840393)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1037576315:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.54/1.02 % (2840389)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3509856543:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.54/1.02 % (2840390)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2902925741:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.54/1.02 % (2840395)dis-21_1_sil=8000:lcm=predicate:random_seed=3403479786:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.54/1.02 % (2840391)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=227658805:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.54/1.02 % (2840395)Refutation not found, incomplete strategy
% 0.54/1.02 % (2840395)------------------------------
% 0.54/1.02 % (2840395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.54/1.02 % (2840395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/1.02 % (2840395)CaDiCaL version: 2.1.3
% 0.54/1.02 % (2840395)Termination reason: Refutation not found, incomplete strategy
% 0.54/1.02 % (2840395)Time elapsed: 0.002 s
% 0.54/1.02 % (2840395)Peak memory usage: 88 MB
% 0.54/1.02 % (2840395)Instructions burned: 3 (million)
% 0.54/1.02 % (2840392)Refutation not found, incomplete strategy
% 0.54/1.02 % (2840392)------------------------------
% 0.54/1.02 % (2840392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.54/1.02 % (2840392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/1.02 % (2840392)CaDiCaL version: 2.1.3
% 0.54/1.02 % (2840392)Termination reason: Refutation not found, incomplete strategy
% 0.54/1.02 % (2840392)Time elapsed: 0.004 s
% 0.54/1.02 % (2840392)Peak memory usage: 88 MB
% 0.54/1.02 % (2840392)Instructions burned: 6 (million)
% 0.54/1.02 % (2840394)First to succeed.
% 0.54/1.02 % (2840394)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2840370"
% 0.54/1.02 % (2840393)Instruction limit reached!
% 0.54/1.02 % (2840393)------------------------------
% 0.54/1.02 % (2840393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.54/1.02 % (2840393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/1.02 % (2840393)CaDiCaL version: 2.1.3
% 0.54/1.02 % (2840393)Termination reason: Instruction limit
% 0.54/1.02 % (2840393)Termination phase: Saturation
% 0.54/1.02 % (2840393)Time elapsed: 0.065 s
% 0.54/1.02 % (2840393)Peak memory usage: 89 MB
% 0.54/1.02 % (2840393)Instructions burned: 115 (million)
% 0.54/1.02 % (2840437)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3216641209:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.54/1.02 % (2840437)Refutation not found, incomplete strategy
% 0.54/1.02 % (2840437)------------------------------
% 0.54/1.02 % (2840437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.54/1.02 % (2840437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/1.02 % (2840437)CaDiCaL version: 2.1.3
% 0.54/1.02 % (2840437)Termination reason: Refutation not found, incomplete strategy
% 0.54/1.02 % (2840437)Time elapsed: 0.004 s
% 0.54/1.02 % (2840437)Peak memory usage: 88 MB
% 0.54/1.02 % (2840437)Instructions burned: 6 (million)
% 0.54/1.02 % (2840392)------------------------------
% 0.54/1.02 % (2840392)------------------------------
% 0.54/1.02 % (2840395)------------------------------
% 0.54/1.02 % (2840395)------------------------------
% 0.54/1.02 % (2840394)Refutation found. Thanks to Tanya!
% 0.54/1.02 % SZS status Unsatisfiable for theBenchmark
% 0.54/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 3.10/1.11 % (2840394)------------------------------
% 3.10/1.11 % (2840394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.11 % (2840394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.11 % (2840394)CaDiCaL version: 2.1.3
% 3.10/1.11 % (2840394)Termination reason: Refutation
% 3.10/1.11 % (2840394)Time elapsed: 0.018 s
% 3.10/1.11 % (2840394)Peak memory usage: 90 MB
% 3.10/1.11 % (2840394)Instructions burned: 29 (million)
% 3.10/1.11 % (2840394)------------------------------
% 3.10/1.11 % (2840394)------------------------------
% 3.10/1.11 % (2840370)Success in time 0.4 s
% 3.10/1.11 % Vampire exiting
%------------------------------------------------------------------------------