%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP275-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 10:17:21 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.36s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 45
% Syntax : Number of formulae : 271 ( 21 unt; 14 def)
% Number of atoms : 773 ( 260 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 920 ( 418 ~; 488 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c8 = inverse(sk_c1)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c8 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f36]) ).
fof(f40,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c8 = inverse(sk_c2)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c8 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f48]) ).
fof(f52,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c4,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f60]) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(X1) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X2) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,X4) != sk_c7
| inverse(X3) != X4
| multiply(X4,sk_c8) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c7 != multiply(X3,X4)
| inverse(X3) != X4
| sk_c7 != multiply(X4,sk_c8) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c7 != multiply(X3,inverse(X3))
| sk_c7 != multiply(inverse(X3),sk_c8) ),
inference(equality_resolution,[],[f65]) ).
fof(f68,definition,
( spl0_1
<=> ! [X3] :
( sk_c7 != multiply(X3,inverse(X3))
| sk_c7 != multiply(inverse(X3),sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f69,plain,
( ! [X3] :
( sk_c7 != multiply(X3,inverse(X3))
| sk_c7 != multiply(inverse(X3),sk_c8) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_2
<=> ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f72,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c7)
| sk_c8 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_3
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f75,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl0_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl0_4
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f79,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f80,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_5
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_2
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f66,f82,f78,f71,f74,f71,f68]) ).
fof(f86,definition,
( spl0_6
<=> sk_c7 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f88,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f90,definition,
( spl0_7
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f92,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f95,definition,
( spl0_8
<=> sk_c5 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f97,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f61,f90,f95]) ).
fof(f100,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f101,plain,
( sk_c7 != multiply(sk_c4,sk_c5)
| spl0_9 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
( sk_c7 = multiply(sk_c4,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f59,f90,f100]) ).
fof(f105,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f107,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f57,f90,f105]) ).
fof(f110,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f112,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f55,f90,f110]) ).
fof(f114,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f53,f90,f74]) ).
fof(f116,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f118,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f120,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f49,f116,f95]) ).
fof(f121,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f47,f116,f100]) ).
fof(f122,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f45,f116,f105]) ).
fof(f123,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f43,f116,f110]) ).
fof(f124,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f41,f116,f74]) ).
fof(f126,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f37,f78,f95]) ).
fof(f127,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f35,f78,f100]) ).
fof(f128,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f33,f78,f105]) ).
fof(f129,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f78,f110]) ).
fof(f130,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f29,f78,f74]) ).
fof(f132,definition,
( spl0_13
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f134,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f27,f132,f86]) ).
fof(f136,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f25,f132,f95]) ).
fof(f137,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f23,f132,f100]) ).
fof(f138,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f21,f132,f105]) ).
fof(f139,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f19,f132,f110]) ).
fof(f140,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f17,f132,f74]) ).
fof(f142,definition,
( spl0_14
<=> multiply(sk_c1,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f144,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f15,f142,f86]) ).
fof(f146,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f13,f142,f95]) ).
fof(f147,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f11,f142,f100]) ).
fof(f148,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f9,f142,f105]) ).
fof(f149,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f7,f142,f110]) ).
fof(f150,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f5,f142,f74]) ).
fof(f151,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_8 ),
inference(superposition,[],[f3,f97]) ).
fof(f152,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f112]) ).
fof(f154,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f157,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_6 ),
inference(superposition,[],[f4,f88]) ).
fof(f158,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f107]) ).
fof(f161,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f154,f1]) ).
fof(f163,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f151]) ).
fof(f164,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f163,f1]) ).
fof(f165,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f152]) ).
fof(f166,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f165,f1]) ).
fof(f167,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f164,f102]) ).
fof(f179,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f166,f107]) ).
fof(f185,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c3,sk_c6)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f158,f75]) ).
fof(f189,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f185,f179]) ).
fof(f211,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f161,f3]) ).
fof(f219,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f161,f161]) ).
fof(f221,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_6 ),
inference(superposition,[],[f161,f88]) ).
fof(f223,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f161,f167]) ).
fof(f227,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl0_8 ),
inference(superposition,[],[f161,f151]) ).
fof(f234,plain,
( identity = sk_c7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f223,f3]) ).
fof(f238,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f211,f219]) ).
fof(f239,plain,
( ! [X0] : multiply(X0,sk_c7) = X0
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f238,f234]) ).
fof(f254,plain,
( sk_c8 = sk_c3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f107,f239]) ).
fof(f267,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f112,f254]) ).
fof(f271,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f189,f254]) ).
fof(f272,plain,
( $false
| ~ spl0_3
| spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f271,f80]) ).
fof(f273,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f280,plain,
( identity != sk_c7
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_5 ),
inference(superposition,[],[f83,f3]) ).
fof(f283,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f280,f234]) ).
fof(f286,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f283,f267]) ).
fof(f291,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f286,f267]) ).
fof(f292,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f291]) ).
fof(f306,plain,
( sk_c7 != multiply(sk_c4,sk_c5)
| sk_c7 != multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f69,f97]) ).
fof(f307,plain,
( sk_c7 != multiply(sk_c3,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f69,f112]) ).
fof(f311,plain,
( identity != sk_c7
| sk_c7 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f69,f3]) ).
fof(f315,plain,
( sk_c7 != multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f307,f179]) ).
fof(f316,plain,
( sk_c7 != multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f306,f102]) ).
fof(f321,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f315,f254]) ).
fof(f322,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f316,f88]) ).
fof(f323,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f328,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f321,f179]) ).
fof(f329,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f330,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != X2 )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f72,f239]) ).
fof(f334,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c3
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f330,f112]) ).
fof(f335,plain,
( sk_c8 != sk_c3
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f334]) ).
fof(f336,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f335,f254]) ).
fof(f337,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f359,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_12 ),
inference(superposition,[],[f3,f118]) ).
fof(f376,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f134]) ).
fof(f383,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_4 ),
inference(superposition,[],[f161,f79]) ).
fof(f396,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_7 ),
inference(superposition,[],[f161,f92]) ).
fof(f398,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f396,f118]) ).
fof(f399,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_14 ),
inference(superposition,[],[f161,f144]) ).
fof(f400,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f144]) ).
fof(f401,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f399,f134]) ).
fof(f402,plain,
( multiply(sk_c5,identity) = multiply(sk_c7,sk_c2)
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f157,f359]) ).
fof(f403,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl0_12 ),
inference(superposition,[],[f161,f359]) ).
fof(f407,plain,
( sk_c5 = multiply(sk_c7,sk_c2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f402,f238]) ).
fof(f447,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f161,f401]) ).
fof(f449,plain,
( identity = sk_c7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f447,f3]) ).
fof(f457,plain,
( multiply(sk_c7,sk_c2) = multiply(sk_c1,identity)
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f400,f359]) ).
fof(f462,plain,
( sk_c1 = multiply(sk_c7,sk_c2)
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f457,f238]) ).
fof(f470,plain,
( sk_c1 = sk_c5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f462,f407]) ).
fof(f477,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f376,f470]) ).
fof(f480,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f477,f449]) ).
fof(f499,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1,f449]) ).
fof(f553,plain,
( sk_c2 = inverse(sk_c8)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f403,f238]) ).
fof(f607,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f161,f480]) ).
fof(f610,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f607,f553]) ).
fof(f613,plain,
( sk_c8 = sk_c5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f610,f92]) ).
fof(f618,plain,
( sk_c4 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f227,f449]) ).
fof(f623,plain,
( sk_c8 = sk_c4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f618,f221]) ).
fof(f626,plain,
( sk_c7 != multiply(sk_c4,sk_c8)
| ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f101,f613]) ).
fof(f639,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f626,f623]) ).
fof(f642,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f639,f398]) ).
fof(f643,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f666,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f383,f553]) ).
fof(f671,plain,
( sk_c8 = sk_c6
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f666,f92]) ).
fof(f734,plain,
( sk_c8 != sk_c6
| spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f76,f499]) ).
fof(f738,plain,
( $false
| spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f734,f671]) ).
fof(f739,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f741,plain,
( sk_c7 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f311,f449]) ).
fof(f743,plain,
( sk_c7 != multiply(sk_c8,sk_c2)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f741,f553]) ).
fof(f744,plain,
( identity != sk_c7
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f743,f359]) ).
fof(f745,plain,
( $false
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f744,f449]) ).
fof(f746,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f752,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f72,f92]) ).
fof(f757,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f752]) ).
fof(f771,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f757,f118]) ).
fof(f772,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f771]) ).
fof(f798,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f280,f449]) ).
fof(f803,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f798,f553]) ).
fof(f804,plain,
( $false
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f803,f118]) ).
fof(f805,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f804]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f84]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f98]) ).
cnf(s5,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f103]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f108]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f113]) ).
cnf(s8,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f114]) ).
cnf(s10,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f120]) ).
cnf(s11,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f121]) ).
cnf(s12,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f122]) ).
cnf(s13,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f123]) ).
cnf(s14,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f124]) ).
cnf(s16,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f126]) ).
cnf(s17,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f127]) ).
cnf(s18,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f128]) ).
cnf(s19,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f129]) ).
cnf(s20,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f130]) ).
cnf(s21,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f135]) ).
cnf(s22,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s23,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s24,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s25,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s26,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s27,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f145]) ).
cnf(s28,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s29,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s30,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s31,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s32,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f150]) ).
cnf(s33,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f273]) ).
cnf(s34,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f292]) ).
cnf(s36,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f323]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f329]) ).
cnf(s40,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f337]) ).
cnf(s46,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f643]) ).
cnf(s48,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f739]) ).
cnf(s49,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f746]) ).
cnf(s51,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12 ),
inference(sat_conversion,[],[f772]) ).
cnf(s63,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f805]) ).
cnf(s64,plain,
spl0_3,
inference(rat,[],[s48,s8,s14,s20,s26,s32]) ).
cnf(s66,plain,
( spl0_14
| ~ spl0_5 ),
inference(rat,[],[s34,s28,s29,s30,s31]) ).
cnf(s67,plain,
( spl0_13
| ~ spl0_5 ),
inference(rat,[],[s34,s22,s23,s24,s25]) ).
cnf(s68,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_5 ),
inference(rat,[],[s34,s10,s11,s12,s13,s63]) ).
cnf(s69,plain,
~ spl0_5,
inference(rat,[],[s68,s67,s66]) ).
cnf(s70,plain,
spl0_4,
inference(rat,[],[s33,s16,s17,s18,s19,s64]) ).
cnf(s71,plain,
( spl0_7
| ~ spl0_2 ),
inference(rat,[],[s40,s4,s5,s6,s7]) ).
cnf(s72,plain,
( ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s40,s10,s11,s12,s13,s51]) ).
cnf(s73,plain,
~ spl0_2,
inference(rat,[],[s72,s71]) ).
cnf(s74,plain,
spl0_1,
inference(rat,[],[s2,s69,s64,s70,s73]) ).
cnf(s75,plain,
( spl0_6
| ~ spl0_12 ),
inference(rat,[],[s49,s21,s27,s74]) ).
cnf(s76,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(rat,[],[s46,s5,s23,s29,s36,s75,s74]) ).
cnf(s77,plain,
~ spl0_12,
inference(rat,[],[s49,s22,s28,s76,s74]) ).
cnf(s78,plain,
spl0_11,
inference(rat,[],[s13,s77]) ).
cnf(s79,plain,
spl0_10,
inference(rat,[],[s12,s77]) ).
cnf(s80,plain,
spl0_9,
inference(rat,[],[s11,s77]) ).
cnf(s81,plain,
spl0_8,
inference(rat,[],[s10,s77]) ).
cnf(s83,plain,
$false,
inference(rat,[],[s39,s80,s81,s74,s78,s79]) ).
fof(f806,plain,
$false,
inference(avatar_sat_refutation,[],[s83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP275-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 09:44:19 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 Running first-order model finding
% 0.04/0.32 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.36 % (2123224)Will run a generic schedule for satisfiability detection.
% 0.07/0.36 % (2123230)% WARNING: option uhcvi not known.
% 0.07/0.36 % (2123234)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=903633856:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.36 % (2123229)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=818540663_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.36 % (2123232)dis+10_1_sil=32000:sp=arity:random_seed=622239423:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.36 % (2123230)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=101555988:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.36 % (2123231)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1783255908:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.36 % (2123233)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2870549761:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.36 % (2123235)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=665864546:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.36 % TRYING [1]
% 0.07/0.36 % TRYING [2]
% 0.07/0.36 % TRYING [3]
% 0.07/0.36 % TRYING [4]
% 0.07/0.36 % (2123233) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2123224-2123233"...
% 0.07/0.36 % (2123232) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2123224-2123232"...
% 0.07/0.36 % (2123233)...printing done.
% 0.07/0.36 % TRYING [5]
% 0.07/0.36 % (2123233)Refutation found. Thanks to Tanya!
% 0.07/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.36 % (2123233)------------------------------
% 0.07/0.36 % (2123233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.36 % (2123233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.36 % (2123233)CaDiCaL version: 2.1.3
% 0.07/0.36 % (2123233)Termination reason: Refutation
% 0.07/0.36 % (2123233)Time elapsed: 0.009 s
% 0.07/0.36 % (2123233)Peak memory usage: 12 MB
% 0.07/0.36 % (2123233)Instructions burned: 26 (million)
% 0.07/0.36 % (2123224)Success in time 0.033 s
% 0.07/0.36 % Vampire exiting
%------------------------------------------------------------------------------