%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n016.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 10:17:15 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 42
% Syntax : Number of formulae : 255 ( 18 unt; 17 def)
% Number of atoms : 803 ( 251 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1035 ( 487 ~; 531 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GRP004-0.ax',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(f20,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f22]) ).
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(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(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(f89,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f90,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_8 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f94,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f95,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| spl0_9 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f96,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[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(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(f126,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f23,f122,f84]) ).
fof(f127,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f21,f122,f89]) ).
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(f155,definition,
( spl0_16
<=> sk_c7 = multiply(sk_c8,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f156,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f157,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| spl0_16 ),
inference(avatar_component_clause,[],[f155]) ).
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(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(f172,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl0_18 ),
inference(avatar_component_clause,[],[f170]) ).
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(f182,definition,
( spl0_19
<=> sk_c7 = multiply(sk_c8,identity) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f183,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f192,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
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(f240,plain,
( sk_c8 != multiply(sk_c1,sk_c7)
| ~ spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f95,f232]) ).
fof(f242,plain,
( $false
| ~ spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f240,f124]) ).
fof(f243,plain,
( ~ spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f242]) ).
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(f317,plain,
( spl0_18
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f313,f131,f122,f170]) ).
fof(f323,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_18 ),
inference(superposition,[],[f62,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(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(f352,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f198,f311]) ).
fof(f354,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f352,f3]) ).
fof(f364,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f326,f333]) ).
fof(f365,plain,
( identity = sk_c8
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f364,f1]) ).
fof(f370,plain,
( sk_c7 != multiply(identity,sk_c6)
| ~ spl0_4
| spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(superposition,[],[f90,f365]) ).
fof(f394,plain,
( sk_c7 != sk_c6
| ~ spl0_4
| spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f370,f1]) ).
fof(f405,plain,
( identity != sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f394,f354]) ).
fof(f410,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f405,f333]) ).
fof(f411,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f421,plain,
( identity != multiply(sk_c8,identity)
| sk_c8 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f323,f333]) ).
fof(f429,plain,
( identity != multiply(identity,identity)
| sk_c8 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f421,f365]) ).
fof(f433,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f429,f1]) ).
fof(f437,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f433,f71]) ).
fof(f440,plain,
( identity != sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f437,f333]) ).
fof(f441,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f440,f365]) ).
fof(f442,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f443,plain,
( ! [X1] :
( identity != multiply(X1,inverse(X1))
| sk_c7 != multiply(inverse(X1),sk_c8) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f68,f333]) ).
fof(f444,plain,
( ! [X1] :
( sk_c7 != multiply(inverse(X1),identity)
| identity != multiply(X1,inverse(X1)) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f443,f365]) ).
fof(f445,plain,
( ! [X1] :
( identity != multiply(inverse(X1),identity)
| identity != multiply(X1,inverse(X1)) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f444,f333]) ).
fof(f456,plain,
( identity != multiply(sk_c7,identity)
| identity != multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(superposition,[],[f445,f71]) ).
fof(f489,plain,
( identity != multiply(identity,identity)
| identity != multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f456,f333]) ).
fof(f499,plain,
( identity != multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f489,f1]) ).
fof(f505,plain,
( identity != multiply(sk_c8,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f499,f333]) ).
fof(f506,plain,
( identity != multiply(identity,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f505,f365]) ).
fof(f507,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f506,f1]) ).
fof(f508,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f510,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f101]) ).
fof(f511,plain,
( identity = multiply(sk_c5,sk_c8)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f86,f354]) ).
fof(f512,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f91,f354]) ).
fof(f513,plain,
( spl0_19
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f512,f89,f84,f75,f182]) ).
fof(f518,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f96]) ).
fof(f520,plain,
( sk_c8 = multiply(inverse(sk_c5),identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f198,f511]) ).
fof(f523,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f520,f77]) ).
fof(f526,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c7 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f68,f101]) ).
fof(f532,plain,
( sk_c7 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f526,f171]) ).
fof(f557,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_10 ),
inference(superposition,[],[f198,f510]) ).
fof(f560,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f557,f71]) ).
fof(f583,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(superposition,[],[f518,f326]) ).
fof(f586,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f583,f156]) ).
fof(f587,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f586,f532]) ).
fof(f588,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f606,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_19 ),
inference(superposition,[],[f523,f183]) ).
fof(f616,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_7
| spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f157,f606]) ).
fof(f627,plain,
( sk_c8 != sk_c7
| ~ spl0_5
| ~ spl0_7
| spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f616,f171]) ).
fof(f631,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f627,f606]) ).
fof(f632,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f633,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_7
| spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f172,f606]) ).
fof(f641,definition,
( spl0_22
<=> sk_c8 = multiply(sk_c8,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f643,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| spl0_22 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f649,plain,
( ~ spl0_22
| ~ spl0_5
| ~ spl0_7
| spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f633,f182,f170,f84,f75,f641]) ).
fof(f656,plain,
( sk_c4 = multiply(sk_c8,identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f560,f606]) ).
fof(f657,plain,
( sk_c7 = sk_c4
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f656,f183]) ).
fof(f658,plain,
( sk_c8 = sk_c4
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f657,f606]) ).
fof(f661,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f96,f658]) ).
fof(f663,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f661,f606]) ).
fof(f665,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f663,f643]) ).
fof(f666,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f665]) ).
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(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(s19,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f126]) ).
cnf(s20,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f127]) ).
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(s37,plain,
( ~ spl0_4
| spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f243]) ).
cnf(s38,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f317]) ).
cnf(s41,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f411]) ).
cnf(s42,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f442]) ).
cnf(s46,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f508]) ).
cnf(s47,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_19 ),
inference(sat_conversion,[],[f513]) ).
cnf(s51,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f588]) ).
cnf(s55,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f632]) ).
cnf(s57,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(sat_conversion,[],[f649]) ).
cnf(s58,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19
| spl0_22 ),
inference(sat_conversion,[],[f666]) ).
cnf(s59,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(rat,[],[s2,s28]) ).
cnf(s60,plain,
( spl0_5
| ~ spl0_3 ),
inference(rat,[],[s46,s38,s8,s13,s18,s23,s28]) ).
cnf(s61,plain,
( spl0_14
| spl0_18
| ~ spl0_5 ),
inference(rat,[],[s58,s57,s47,s24,s25,s26,s27,s28]) ).
cnf(s62,plain,
( spl0_18
| ~ spl0_5 ),
inference(rat,[],[s58,s57,s47,s19,s20,s21,s22,s38,s61,s28]) ).
cnf(s63,plain,
( spl0_12
| ~ spl0_3 ),
inference(rat,[],[s55,s47,s51,s14,s15,s16,s17,s62,s60,s28]) ).
cnf(s64,plain,
~ spl0_3,
inference(rat,[],[s55,s47,s51,s9,s10,s11,s12,s46,s63,s62,s60,s28]) ).
cnf(s65,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s30,s22,s27]) ).
cnf(s66,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s37,s21,s26,s29,s28]) ).
cnf(s67,plain,
~ spl0_2,
inference(rat,[],[s66,s65]) ).
cnf(s68,plain,
spl0_1,
inference(rat,[],[s59,s64,s67]) ).
cnf(s70,plain,
( ~ spl0_7
| ~ spl0_5
| ~ spl0_18 ),
inference(rat,[],[s41,s10,s15,s33,s28,s68]) ).
cnf(s71,plain,
( spl0_7
| ~ spl0_18 ),
inference(rat,[],[s42,s9,s14,s28,s68]) ).
cnf(s72,plain,
( ~ spl0_7
| ~ spl0_18 ),
inference(rat,[],[s42,s8,s13,s70,s68,s28]) ).
cnf(s73,plain,
~ spl0_18,
inference(rat,[],[s72,s71]) ).
cnf(s74,plain,
~ spl0_5,
inference(rat,[],[s62,s73]) ).
cnf(s78,plain,
spl0_14,
inference(rat,[],[s23,s74]) ).
cnf(s79,plain,
spl0_13,
inference(rat,[],[s18,s74]) ).
cnf(s80,plain,
$false,
inference(rat,[],[s38,s73,s79,s78]) ).
fof(f667,plain,
$false,
inference(avatar_sat_refutation,[],[s80]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.11/0.39 % Computer : n016.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 09:43:02 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.47 % (2376733)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (2376745)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3283332373:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (2376739)% WARNING: option uhcvi not known.
% 0.15/0.47 % (2376741)dis+10_1_sil=32000:sp=arity:random_seed=2453548516:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (2376739)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=530663348:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (2376744)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3714062968:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % (2376740)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1302402131:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (2376743)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=91709873:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (2376738)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1080908087_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % TRYING [1]
% 0.15/0.47 % (2376741) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2376733-2376741"...
% 0.15/0.47 % TRYING [2]
% 0.15/0.47 % (2376743) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2376733-2376743"...
% 0.15/0.47 % TRYING [3]
% 0.15/0.47 % (2376741)...printing done.
% 0.15/0.47 % (2376743)...printing done.
% 0.15/0.47 % (2376741)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (2376741)------------------------------
% 0.15/0.48 % (2376741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.48 % (2376741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.48 % (2376741)CaDiCaL version: 2.1.3
% 0.15/0.48 % (2376741)Termination reason: Refutation
% 0.15/0.48 % (2376741)Time elapsed: 0.016 s
% 0.15/0.48 % (2376741)Peak memory usage: 12 MB
% 0.15/0.48 % (2376741)Instructions burned: 24 (million)
% 0.15/0.48 % (2376733)Success in time 0.05 s
% 0.15/0.48 % Vampire exiting
%------------------------------------------------------------------------------