%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP236-1 : 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 : n007.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 10:13:24 AM UTC 2026
% Result : Unsatisfiable 2.56s 1.26s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 47
% Syntax : Number of formulae : 253 ( 20 unt; 19 def)
% Number of atoms : 740 ( 254 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 895 ( 408 ~; 468 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 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(f5,negated_conjecture,
inverse(sk_c8) = sk_c7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f18]) ).
fof(f24,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c3 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c3 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c3 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(X0,sk_c7) != sk_c8
| multiply(X1,X2) != sk_c7
| inverse(X1) != X2
| multiply(X2,sk_c8) != sk_c7
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,X4) != sk_c7
| multiply(X5,sk_c8) != X4
| inverse(X5) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
! [X2,X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| multiply(X1,X2) != sk_c7
| inverse(X1) != X2
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,plain,
! [X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c7 != multiply(X1,inverse(X1))
| sk_c7 != multiply(inverse(X1),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f57]) ).
fof(f59,plain,
! [X3,X0,X1,X5] :
( inverse(sk_c8) != sk_c7
| inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c7 != multiply(X1,inverse(X1))
| sk_c7 != multiply(inverse(X1),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f58]) ).
fof(f61,definition,
( spl0_1
<=> ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f62,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f65,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,definition,
( spl0_3
<=> ! [X1] :
( sk_c7 != multiply(X1,inverse(X1))
| sk_c7 != multiply(inverse(X1),sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f68,plain,
( ! [X1] :
( sk_c7 != multiply(inverse(X1),sk_c8)
| sk_c7 != multiply(X1,inverse(X1)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,definition,
( spl0_4
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f71,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f59,f70,f64,f67,f64,f61]) ).
fof(f75,definition,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f77,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl0_6
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f81,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f55,f79,f75]) ).
fof(f84,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f86,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f53,f79,f84]) ).
fof(f89,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f91,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f51,f79,f89]) ).
fof(f94,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f96,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f49,f79,f94]) ).
fof(f99,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f101,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f47,f79,f99]) ).
fof(f104,definition,
( spl0_11
<=> sk_c3 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f106,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f45,f104,f75]) ).
fof(f108,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f43,f104,f84]) ).
fof(f109,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f41,f104,f89]) ).
fof(f110,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f39,f104,f94]) ).
fof(f111,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f37,f104,f99]) ).
fof(f113,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c2,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f115,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f35,f113,f75]) ).
fof(f117,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f33,f113,f84]) ).
fof(f118,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f31,f113,f89]) ).
fof(f119,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f29,f113,f94]) ).
fof(f120,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f27,f113,f99]) ).
fof(f122,definition,
( spl0_13
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f124,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f25,f122,f75]) ).
fof(f128,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f19,f122,f94]) ).
fof(f129,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f17,f122,f99]) ).
fof(f131,definition,
( spl0_14
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f133,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f15,f131,f75]) ).
fof(f135,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f13,f131,f84]) ).
fof(f136,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f11,f131,f89]) ).
fof(f137,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f9,f131,f94]) ).
fof(f138,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f7,f131,f99]) ).
fof(f139,plain,
spl0_4,
inference(avatar_split_clause,[],[f5,f70]) ).
fof(f140,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f65,f96]) ).
fof(f141,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f140]) ).
fof(f142,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f141,f101]) ).
fof(f143,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f142]) ).
fof(f144,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f65,f124]) ).
fof(f145,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f144]) ).
fof(f146,plain,
( $false
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f145,f133]) ).
fof(f147,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f148,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f62,f86]) ).
fof(f162,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f148,f77]) ).
fof(f163,plain,
( ~ spl0_8
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f162,f84,f75,f61,f89]) ).
fof(f164,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(identity)
| ~ spl0_1 ),
inference(superposition,[],[f62,f1]) ).
fof(f166,definition,
( spl0_17
<=> sk_c8 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f168,plain,
( sk_c8 != inverse(identity)
| spl0_17 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f170,definition,
( spl0_18
<=> sk_c7 = multiply(sk_c8,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f171,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f164,f61,f170,f166]) ).
fof(f174,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_4 ),
inference(superposition,[],[f3,f71]) ).
fof(f175,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f133]) ).
fof(f176,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f101]) ).
fof(f177,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f3,f77]) ).
fof(f186,definition,
( spl0_20
<=> sk_c8 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f188,plain,
( sk_c8 != inverse(sk_c7)
| spl0_20 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f192,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f196,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f81]) ).
fof(f198,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f192,f1]) ).
fof(f202,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_4 ),
inference(superposition,[],[f4,f174]) ).
fof(f203,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f202,f1]) ).
fof(f213,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f203,f175]) ).
fof(f214,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f203,f176]) ).
fof(f232,plain,
( sk_c1 = sk_c4
| ~ spl0_4
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f214,f213]) ).
fof(f289,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_5 ),
inference(superposition,[],[f198,f177]) ).
fof(f293,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_13 ),
inference(superposition,[],[f198,f124]) ).
fof(f295,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f198,f86]) ).
fof(f297,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f198,f115]) ).
fof(f309,plain,
( sk_c3 = multiply(sk_c3,sk_c7)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f297,f106]) ).
fof(f311,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f295,f77]) ).
fof(f313,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f293,f133]) ).
fof(f314,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f289,f71]) ).
fof(f317,plain,
( spl0_18
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f313,f131,f122,f170]) ).
fof(f319,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c3,sk_c7)
| ~ spl0_6
| ~ spl0_18 ),
inference(superposition,[],[f196,f171]) ).
fof(f324,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_18 ),
inference(superposition,[],[f198,f171]) ).
fof(f326,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f324,f71]) ).
fof(f328,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f319,f174]) ).
fof(f331,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c3)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f198,f309]) ).
fof(f333,plain,
( identity = sk_c7
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f331,f3]) ).
fof(f337,plain,
( sk_c8 != inverse(sk_c7)
| ~ spl0_11
| ~ spl0_12
| spl0_17 ),
inference(superposition,[],[f168,f333]) ).
fof(f339,plain,
( ~ spl0_20
| ~ spl0_11
| ~ spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f337,f166,f113,f104,f186]) ).
fof(f344,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f198,f311]) ).
fof(f346,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f344,f3]) ).
fof(f353,plain,
( identity = sk_c3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f328,f309]) ).
fof(f354,plain,
( sk_c7 = sk_c3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f353,f333]) ).
fof(f360,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(superposition,[],[f309,f354]) ).
fof(f361,plain,
( sk_c8 = sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f360,f326]) ).
fof(f371,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18
| spl0_20 ),
inference(superposition,[],[f188,f361]) ).
fof(f381,plain,
( sk_c8 != sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18
| spl0_20 ),
inference(forward_demodulation,[],[f371,f71]) ).
fof(f386,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f381,f361]) ).
fof(f387,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f392,plain,
( ! [X1] :
( sk_c8 != multiply(X1,inverse(X1))
| sk_c7 != multiply(inverse(X1),sk_c8) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f68,f361]) ).
fof(f397,plain,
( ! [X1] :
( sk_c8 != multiply(inverse(X1),sk_c8)
| sk_c8 != multiply(X1,inverse(X1)) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f392,f361]) ).
fof(f404,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(superposition,[],[f397,f71]) ).
fof(f413,plain,
( identity != sk_c8
| sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f404,f174]) ).
fof(f418,plain,
( sk_c8 != sk_c7
| sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f413,f333]) ).
fof(f422,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f418,f361]) ).
fof(f426,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f422,f361]) ).
fof(f428,plain,
( sk_c8 != sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f426,f171]) ).
fof(f431,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f428,f361]) ).
fof(f432,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f440,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f96,f232]) ).
fof(f441,plain,
( spl0_13
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f440,f131,f99,f94,f70,f122]) ).
fof(f523,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f311,f91]) ).
fof(f618,plain,
( sk_c5 = multiply(sk_c7,sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f314,f346]) ).
fof(f619,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f96,f523]) ).
fof(f624,plain,
( multiply(sk_c8,sk_c6) = sk_c5
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f618,f523]) ).
fof(f627,plain,
( sk_c7 = sk_c5
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f624,f91]) ).
fof(f629,definition,
( spl0_23
<=> sk_c8 = multiply(sk_c8,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f638,plain,
( sk_c8 = sk_c5
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f627,f523]) ).
fof(f640,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f77,f638]) ).
fof(f649,definition,
( spl0_25
<=> sk_c8 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f650,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f656,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f68,f640]) ).
fof(f659,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f656]) ).
fof(f661,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f659,f523]) ).
fof(f662,plain,
( ~ spl0_23
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f661,f89,f84,f75,f70,f67,f629]) ).
fof(f663,plain,
( spl0_25
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f619,f94,f89,f84,f75,f649]) ).
fof(f675,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_25 ),
inference(superposition,[],[f198,f650]) ).
fof(f677,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_25 ),
inference(forward_demodulation,[],[f675,f101]) ).
fof(f678,plain,
( spl0_23
| ~ spl0_10
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f677,f649,f99,f629]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f73]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f82]) ).
cnf(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f87]) ).
cnf(s5,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f92]) ).
cnf(s6,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f97]) ).
cnf(s7,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f102]) ).
cnf(s8,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f107]) ).
cnf(s9,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f108]) ).
cnf(s10,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f109]) ).
cnf(s11,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f110]) ).
cnf(s12,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f111]) ).
cnf(s13,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f116]) ).
cnf(s14,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f117]) ).
cnf(s15,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f118]) ).
cnf(s16,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f119]) ).
cnf(s17,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f120]) ).
cnf(s18,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f125]) ).
cnf(s21,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f128]) ).
cnf(s22,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f129]) ).
cnf(s23,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f134]) ).
cnf(s24,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f135]) ).
cnf(s25,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s26,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s27,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s28,plain,
spl0_4,
inference(sat_conversion,[],[f139]) ).
cnf(s29,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f143]) ).
cnf(s30,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s33,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f163]) ).
cnf(s34,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f173]) ).
cnf(s38,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f317]) ).
cnf(s39,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_17
| ~ spl0_20 ),
inference(sat_conversion,[],[f339]) ).
cnf(s41,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18
| spl0_20 ),
inference(sat_conversion,[],[f387]) ).
cnf(s46,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f432]) ).
cnf(s50,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f441]) ).
cnf(s67,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_23 ),
inference(sat_conversion,[],[f662]) ).
cnf(s68,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_25 ),
inference(sat_conversion,[],[f663]) ).
cnf(s69,plain,
( ~ spl0_10
| spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f678]) ).
cnf(s70,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(rat,[],[s2,s28]) ).
cnf(s71,plain,
( spl0_5
| ~ spl0_3 ),
inference(rat,[],[s46,s38,s3,s8,s13,s18,s23,s28]) ).
cnf(s72,plain,
( spl0_14
| ~ spl0_3 ),
inference(rat,[],[s69,s67,s68,s24,s25,s26,s27,s71,s28]) ).
cnf(s73,plain,
( spl0_13
| ~ spl0_14 ),
inference(rat,[],[s50,s21,s22,s28]) ).
cnf(s74,plain,
( spl0_12
| ~ spl0_3 ),
inference(rat,[],[s69,s67,s68,s14,s15,s16,s17,s71,s28]) ).
cnf(s75,plain,
( spl0_11
| ~ spl0_3 ),
inference(rat,[],[s69,s67,s68,s9,s10,s11,s12,s71,s28]) ).
cnf(s76,plain,
~ spl0_3,
inference(rat,[],[s69,s67,s68,s4,s5,s6,s7,s46,s75,s74,s38,s73,s72,s71,s28]) ).
cnf(s77,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s29,s26,s27]) ).
cnf(s78,plain,
~ spl0_2,
inference(rat,[],[s30,s73,s77]) ).
cnf(s79,plain,
spl0_1,
inference(rat,[],[s70,s76,s78]) ).
cnf(s80,plain,
spl0_14,
inference(rat,[],[s33,s23,s24,s25,s79]) ).
cnf(s81,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_6
| ~ spl0_18 ),
inference(rat,[],[s39,s41,s34,s28,s79]) ).
cnf(s82,plain,
spl0_12,
inference(rat,[],[s33,s13,s14,s15,s79]) ).
cnf(s83,plain,
spl0_11,
inference(rat,[],[s33,s8,s9,s10,s79]) ).
cnf(s84,plain,
spl0_6,
inference(rat,[],[s33,s3,s4,s5,s79]) ).
cnf(s85,plain,
spl0_13,
inference(rat,[],[s73,s80]) ).
cnf(s86,plain,
spl0_18,
inference(rat,[],[s38,s85,s80]) ).
cnf(s87,plain,
$false,
inference(rat,[],[s81,s86,s82,s84,s83]) ).
fof(f679,plain,
$false,
inference(avatar_sat_refutation,[],[s87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP236-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 09:36:10 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 2.56/1.26 % (1160707)Input is clausal, will run a generic CNF schedule.
% 2.56/1.26 % (1160761)dis-21_1_sil=8000:lcm=predicate:random_seed=603827271: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)
% 2.56/1.26 % (1160761)Refutation not found, incomplete strategy
% 2.56/1.26 % (1160761)------------------------------
% 2.56/1.26 % (1160761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.26 % (1160761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.26 % (1160761)CaDiCaL version: 2.1.3
% 2.56/1.26 % (1160761)Termination reason: Refutation not found, incomplete strategy
% 2.56/1.26 % (1160761)Time elapsed: 0.001 s
% 2.56/1.26 % (1160761)Peak memory usage: 88 MB
% 2.56/1.26 % (1160761)Instructions burned: 2 (million)
% 2.56/1.26 % (1160758)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3973941756:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.56/1.26 % (1160752)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=942629857:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.56/1.26 % (1160753)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1655522990:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.56/1.26 % (1160756)lrs+10_1_sil=8000:sp=occurrence:random_seed=3514477985:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.56/1.26 % (1160755)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=560729889:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.56/1.26 % (1160759)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=680496934:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.56/1.26 % (1160759)First to succeed.
% 2.56/1.26 % (1160759)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1160707"
% 2.56/1.26 % (1160756)Instruction limit reached!
% 2.56/1.26 % (1160756)------------------------------
% 2.56/1.26 % (1160756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.26 % (1160756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.26 % (1160756)CaDiCaL version: 2.1.3
% 2.56/1.26 % (1160756)Termination reason: Instruction limit
% 2.56/1.26 % (1160756)Termination phase: Saturation
% 2.56/1.26 % (1160756)Time elapsed: 0.053 s
% 2.56/1.26 % (1160756)Peak memory usage: 89 MB
% 2.56/1.26 % (1160756)Instructions burned: 107 (million)
% 2.56/1.26 % (1160758)Instruction limit reached!
% 2.56/1.26 % (1160758)------------------------------
% 2.56/1.26 % (1160758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.26 % (1160758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.26 % (1160758)CaDiCaL version: 2.1.3
% 2.56/1.26 % (1160758)Termination reason: Instruction limit
% 2.56/1.26 % (1160758)Termination phase: Saturation
% 2.56/1.26 % (1160758)Time elapsed: 0.066 s
% 2.56/1.26 % (1160758)Peak memory usage: 89 MB
% 2.56/1.26 % (1160758)Instructions burned: 115 (million)
% 2.56/1.26 % (1160761)------------------------------
% 2.56/1.26 % (1160761)------------------------------
% 2.56/1.26 % (1160822)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=866732211:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 2.56/1.26 % (1160818)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=2584950617:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.56/1.26 % (1160818)Refutation not found, incomplete strategy
% 2.56/1.26 % (1160818)------------------------------
% 2.56/1.26 % (1160818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.26 % (1160818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.26 % (1160818)CaDiCaL version: 2.1.3
% 2.56/1.26 % (1160818)Termination reason: Refutation not found, incomplete strategy
% 2.56/1.26 % (1160818)Time elapsed: 0.003 s
% 2.56/1.26 % (1160818)Peak memory usage: 88 MB
% 2.56/1.26 % (1160818)Instructions burned: 3 (million)
% 2.56/1.26 % (1160834)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1364711133:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.56/1.26 % (1160834)Instruction limit reached!
% 2.56/1.26 % (1160834)------------------------------
% 2.56/1.26 % (1160834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.26 % (1160834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.26 % (1160834)CaDiCaL version: 2.1.3
% 2.56/1.26 % (1160834)Termination reason: Instruction limit
% 2.56/1.26 % (1160834)Termination phase: Saturation
% 2.56/1.26 % (1160834)Time elapsed: 0.056 s
% 2.56/1.26 % (1160834)Peak memory usage: 90 MB
% 2.56/1.26 % (1160834)Instructions burned: 222 (million)
% 2.56/1.26 % (1160759)Refutation found. Thanks to Tanya!
% 2.56/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.56/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.45/1.35 % (1160759)------------------------------
% 3.45/1.35 % (1160759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.35 % (1160759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.35 % (1160759)CaDiCaL version: 2.1.3
% 3.45/1.35 % (1160759)Termination reason: Refutation
% 3.45/1.35 % (1160759)Time elapsed: 0.017 s
% 3.45/1.35 % (1160759)Peak memory usage: 89 MB
% 3.45/1.35 % (1160759)Instructions burned: 25 (million)
% 3.45/1.35 % (1160759)------------------------------
% 3.45/1.35 % (1160759)------------------------------
% 3.45/1.35 % (1160707)Success in time 0.414 s
% 3.45/1.35 % Vampire exiting
%------------------------------------------------------------------------------