%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP211-1 : 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 : n006.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 10:17:11 AM UTC 2026
% Result : Unsatisfiable 0.43s 0.48s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 48
% Syntax : Number of formulae : 255 ( 16 unt; 19 def)
% Number of atoms : 658 ( 243 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 716 ( 313 ~; 384 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 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 : 39 ( 0 sgn 39 !; 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,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| multiply(X1,sk_c7) != sk_c8
| inverse(X2) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| 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_26) ).
fof(f56,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| sk_c8 != multiply(X1,sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| 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,[],[f55]) ).
fof(f57,plain,
! [X2,X3,X0,X4,X5] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| 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,[],[f56]) ).
fof(f58,plain,
! [X2,X3,X0,X5] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| 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,[],[f57]) ).
fof(f60,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(f61,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f64,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,definition,
( spl0_3
<=> ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f67,plain,
( ! [X0] :
( sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != multiply(X0,inverse(X0)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f68,plain,
( spl0_1
| spl0_2
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f58,f66,f63,f63,f60]) ).
fof(f70,definition,
( spl0_4
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f72,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f74,definition,
( spl0_5
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f76,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f54,f74,f70]) ).
fof(f79,definition,
( spl0_6
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f81,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f52,f74,f79]) ).
fof(f84,definition,
( spl0_7
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f86,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f50,f74,f84]) ).
fof(f89,definition,
( spl0_8
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f91,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f48,f74,f89]) ).
fof(f94,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f96,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f46,f74,f94]) ).
fof(f99,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f101,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f44,f99,f70]) ).
fof(f103,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f42,f99,f79]) ).
fof(f104,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f40,f99,f84]) ).
fof(f105,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f38,f99,f89]) ).
fof(f106,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f36,f99,f94]) ).
fof(f108,definition,
( spl0_11
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f111,plain,
( spl0_4
| spl0_11 ),
inference(avatar_split_clause,[],[f34,f108,f70]) ).
fof(f112,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f32,f108,f79]) ).
fof(f113,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f30,f108,f84]) ).
fof(f114,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f28,f108,f89]) ).
fof(f115,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f26,f108,f94]) ).
fof(f117,definition,
( spl0_12
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f119,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f24,f117,f70]) ).
fof(f121,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f22,f117,f79]) ).
fof(f122,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f20,f117,f84]) ).
fof(f123,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f18,f117,f89]) ).
fof(f124,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f16,f117,f94]) ).
fof(f126,definition,
( spl0_13
<=> multiply(sk_c1,sk_c2) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f128,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f14,f126,f70]) ).
fof(f130,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f12,f126,f79]) ).
fof(f131,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f10,f126,f84]) ).
fof(f132,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f8,f126,f89]) ).
fof(f133,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f6,f126,f94]) ).
fof(f135,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f64,f96]) ).
fof(f136,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f135]) ).
fof(f138,plain,
( ~ spl0_8
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f136,f94,f63,f89]) ).
fof(f139,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f64,f101]) ).
fof(f140,plain,
( sk_c8 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f139]) ).
fof(f141,plain,
( ~ spl0_5
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f140,f99,f63,f74]) ).
fof(f142,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f61,f81]) ).
fof(f150,definition,
( spl0_15
<=> sk_c7 = multiply(sk_c8,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f151,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f152,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl0_15 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f154,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f3,f119]) ).
fof(f155,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_9 ),
inference(superposition,[],[f3,f96]) ).
fof(f156,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_4 ),
inference(superposition,[],[f3,f72]) ).
fof(f157,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f3,f101]) ).
fof(f170,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f171,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c8,X0)
| ~ spl0_13 ),
inference(superposition,[],[f4,f128]) ).
fof(f173,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f154]) ).
fof(f174,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f155]) ).
fof(f176,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f157]) ).
fof(f220,plain,
( multiply(sk_c2,sk_c8) = multiply(identity,sk_c2)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f173,f128]) ).
fof(f241,plain,
( sk_c7 != multiply(identity,sk_c8)
| sk_c8 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f61,f174]) ).
fof(f246,definition,
( spl0_22
<=> sk_c7 = multiply(identity,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f247,plain,
( sk_c7 = multiply(identity,sk_c8)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( sk_c7 != multiply(identity,sk_c8)
| spl0_22 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f249,plain,
( ~ spl0_9
| ~ spl0_22
| ~ spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f241,f94,f60,f246,f94]) ).
fof(f250,plain,
( sk_c8 != sk_c7
| spl0_22 ),
inference(superposition,[],[f248,f1]) ).
fof(f273,definition,
( spl0_24
<=> sk_c7 = multiply(sk_c8,multiply(sk_c8,sk_c8)) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( sk_c7 = multiply(sk_c8,multiply(sk_c8,sk_c8))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f275,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c8,sk_c8))
| spl0_24 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f291,definition,
( spl0_28
<=> sk_c7 = multiply(sk_c8,multiply(identity,sk_c8)) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f292,plain,
( sk_c7 = multiply(sk_c8,multiply(identity,sk_c8))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f293,plain,
( sk_c7 != multiply(sk_c8,multiply(identity,sk_c8))
| spl0_28 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f314,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl0_28 ),
inference(superposition,[],[f293,f1]) ).
fof(f333,plain,
( multiply(sk_c8,sk_c8) = multiply(identity,sk_c7)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f176,f76]) ).
fof(f336,plain,
( sk_c7 != multiply(identity,sk_c8)
| sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f61,f176]) ).
fof(f344,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl0_5
| ~ spl0_10
| spl0_15 ),
inference(superposition,[],[f152,f333]) ).
fof(f350,plain,
( sk_c7 != sk_c7
| ~ spl0_5
| ~ spl0_10
| spl0_15 ),
inference(superposition,[],[f344,f1]) ).
fof(f351,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| spl0_15 ),
inference(trivial_inequality_removal,[],[f350]) ).
fof(f352,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f353,plain,
( ~ spl0_15
| spl0_28 ),
inference(avatar_split_clause,[],[f314,f291,f150]) ).
fof(f367,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl0_15
| spl0_24 ),
inference(superposition,[],[f275,f151]) ).
fof(f369,plain,
( sk_c7 = multiply(sk_c1,multiply(sk_c2,sk_c8))
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f171,f151]) ).
fof(f396,plain,
( multiply(identity,sk_c4) = multiply(inverse(sk_c8),identity)
| ~ spl0_9 ),
inference(superposition,[],[f170,f155]) ).
fof(f398,plain,
( multiply(inverse(sk_c8),identity) = multiply(identity,sk_c5)
| ~ spl0_4 ),
inference(superposition,[],[f170,f156]) ).
fof(f400,plain,
( multiply(identity,sk_c8) = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f170,f81]) ).
fof(f435,plain,
( sk_c7 = multiply(sk_c1,multiply(identity,sk_c2))
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f369,f220]) ).
fof(f456,plain,
( multiply(identity,sk_c4) = multiply(identity,sk_c5)
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f396,f398]) ).
fof(f542,plain,
( sk_c5 = multiply(identity,sk_c4)
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f1,f456]) ).
fof(f547,plain,
( sk_c4 = sk_c5
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f1,f542]) ).
fof(f552,plain,
( sk_c6 = multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f81,f547]) ).
fof(f674,plain,
( multiply(sk_c1,sk_c2) = sk_c7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f435,f1]) ).
fof(f681,plain,
( sk_c8 = sk_c7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f128,f674]) ).
fof(f691,plain,
( sk_c8 != sk_c8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| spl0_22 ),
inference(superposition,[],[f250,f681]) ).
fof(f703,plain,
( $false
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| spl0_22 ),
inference(trivial_inequality_removal,[],[f691]) ).
fof(f704,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f705,plain,
( sk_c8 = sk_c7
| ~ spl0_22 ),
inference(superposition,[],[f247,f1]) ).
fof(f706,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl0_22
| ~ spl0_28 ),
inference(superposition,[],[f292,f247]) ).
fof(f714,plain,
( sk_c7 != sk_c7
| ~ spl0_15
| ~ spl0_22
| spl0_24
| ~ spl0_28 ),
inference(superposition,[],[f367,f706]) ).
fof(f720,plain,
( $false
| ~ spl0_15
| ~ spl0_22
| spl0_24
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f714]) ).
fof(f721,plain,
( ~ spl0_15
| ~ spl0_22
| spl0_24
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f722,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl0_15
| ~ spl0_24 ),
inference(superposition,[],[f274,f151]) ).
fof(f734,plain,
( sk_c8 != multiply(sk_c2,sk_c7)
| multiply(sk_c1,sk_c2) != sk_c8
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f67,f119]) ).
fof(f735,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f67,f96]) ).
fof(f763,definition,
( spl0_41
<=> sk_c8 = multiply(sk_c8,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f765,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| spl0_41 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f768,definition,
( spl0_42
<=> sk_c8 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f769,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f771,plain,
( ~ spl0_42
| ~ spl0_41
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f735,f94,f66,f763,f768]) ).
fof(f772,plain,
( ~ spl0_13
| ~ spl0_11
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f734,f117,f66,f108,f126]) ).
fof(f773,plain,
( multiply(sk_c8,sk_c6) = multiply(identity,sk_c8)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f400,f72]) ).
fof(f825,plain,
( sk_c8 != sk_c7
| ~ spl0_15
| ~ spl0_24
| spl0_41 ),
inference(superposition,[],[f765,f722]) ).
fof(f899,plain,
( sk_c7 = multiply(identity,sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f86,f773]) ).
fof(f905,plain,
( spl0_22
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f899,f84,f79,f70,f246]) ).
fof(f908,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_8
| ~ spl0_22 ),
inference(superposition,[],[f91,f705]) ).
fof(f926,plain,
( spl0_42
| ~ spl0_8
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f908,f246,f89,f768]) ).
fof(f935,plain,
( sk_c8 = sk_c6
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_42 ),
inference(superposition,[],[f552,f769]) ).
fof(f946,plain,
( sk_c8 != sk_c8
| ~ spl0_15
| ~ spl0_22
| ~ spl0_24
| spl0_41 ),
inference(superposition,[],[f825,f705]) ).
fof(f947,plain,
( $false
| ~ spl0_15
| ~ spl0_22
| ~ spl0_24
| spl0_41 ),
inference(trivial_inequality_removal,[],[f946]) ).
fof(f948,plain,
( ~ spl0_15
| ~ spl0_22
| ~ spl0_24
| spl0_41 ),
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f957,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_42 ),
inference(superposition,[],[f86,f935]) ).
fof(f963,plain,
( spl0_15
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f957,f768,f94,f84,f79,f70,f150]) ).
fof(f965,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f142,f79,f60,f84,f70]) ).
fof(f966,plain,
( ~ spl0_10
| ~ spl0_22
| ~ spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f336,f99,f60,f246,f99]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f68]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f77]) ).
cnf(s4,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f82]) ).
cnf(s5,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f87]) ).
cnf(s6,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f92]) ).
cnf(s7,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f97]) ).
cnf(s8,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f102]) ).
cnf(s9,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f103]) ).
cnf(s10,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f104]) ).
cnf(s11,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f105]) ).
cnf(s12,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f106]) ).
cnf(s13,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f111]) ).
cnf(s14,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f112]) ).
cnf(s15,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f113]) ).
cnf(s16,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f114]) ).
cnf(s17,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f115]) ).
cnf(s18,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f120]) ).
cnf(s19,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f121]) ).
cnf(s20,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f122]) ).
cnf(s21,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f123]) ).
cnf(s22,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f124]) ).
cnf(s23,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f129]) ).
cnf(s24,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f130]) ).
cnf(s25,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f131]) ).
cnf(s26,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f132]) ).
cnf(s27,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f133]) ).
cnf(s28,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f138]) ).
cnf(s29,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(sat_conversion,[],[f141]) ).
cnf(s35,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_9
| ~ spl0_22 ),
inference(sat_conversion,[],[f249]) ).
cnf(s36,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_22 ),
inference(rat,[],[s35]) ).
cnf(s42,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f352]) ).
cnf(s43,plain,
( ~ spl0_15
| spl0_28 ),
inference(sat_conversion,[],[f353]) ).
cnf(s50,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| spl0_22 ),
inference(sat_conversion,[],[f704]) ).
cnf(s51,plain,
( ~ spl0_15
| ~ spl0_22
| spl0_24
| ~ spl0_28 ),
inference(sat_conversion,[],[f721]) ).
cnf(s56,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_41
| ~ spl0_42 ),
inference(sat_conversion,[],[f771]) ).
cnf(s57,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f772]) ).
cnf(s61,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_22 ),
inference(sat_conversion,[],[f905]) ).
cnf(s63,plain,
( ~ spl0_8
| ~ spl0_22
| spl0_42 ),
inference(sat_conversion,[],[f926]) ).
cnf(s65,plain,
( ~ spl0_15
| ~ spl0_22
| ~ spl0_24
| spl0_41 ),
inference(sat_conversion,[],[f948]) ).
cnf(s67,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| spl0_15
| ~ spl0_42 ),
inference(sat_conversion,[],[f963]) ).
cnf(s68,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f965]) ).
cnf(s69,plain,
( ~ spl0_10
| ~ spl0_1
| ~ spl0_10
| ~ spl0_22 ),
inference(sat_conversion,[],[f966]) ).
cnf(s70,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_22 ),
inference(rat,[],[s69]) ).
cnf(s72,plain,
( spl0_4
| ~ spl0_3 ),
inference(rat,[],[s57,s13,s18,s23]) ).
cnf(s73,plain,
( spl0_13
| ~ spl0_3 ),
inference(rat,[],[s65,s51,s43,s56,s67,s63,s61,s24,s25,s26,s27,s72]) ).
cnf(s74,plain,
( spl0_12
| ~ spl0_3 ),
inference(rat,[],[s65,s51,s43,s56,s67,s63,s61,s19,s20,s21,s22,s72]) ).
cnf(s75,plain,
~ spl0_3,
inference(rat,[],[s65,s51,s43,s56,s67,s63,s61,s14,s15,s16,s17,s57,s74,s73,s72]) ).
cnf(s77,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s29,s7,s12]) ).
cnf(s78,plain,
( ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s29,s6,s11,s28]) ).
cnf(s79,plain,
~ spl0_2,
inference(rat,[],[s78,s77]) ).
cnf(s80,plain,
spl0_1,
inference(rat,[],[s2,s75,s79]) ).
cnf(s81,plain,
spl0_9,
inference(rat,[],[s50,s42,s70,s7,s12,s22,s27,s80]) ).
cnf(s82,plain,
~ spl0_22,
inference(rat,[],[s36,s80,s81]) ).
cnf(s83,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s68,s9,s10,s80]) ).
cnf(s84,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s68,s4,s5,s80]) ).
cnf(s85,plain,
( ~ spl0_4
| ~ spl0_13 ),
inference(rat,[],[s68,s19,s20,s50,s42,s84,s83,s80,s82]) ).
cnf(s86,plain,
~ spl0_13,
inference(rat,[],[s42,s50,s3,s8,s18,s85,s82]) ).
cnf(s87,plain,
spl0_7,
inference(rat,[],[s25,s86]) ).
cnf(s88,plain,
spl0_6,
inference(rat,[],[s24,s86]) ).
cnf(s89,plain,
spl0_4,
inference(rat,[],[s23,s86]) ).
cnf(s90,plain,
$false,
inference(rat,[],[s68,s89,s80,s87,s88]) ).
fof(f967,plain,
$false,
inference(avatar_sat_refutation,[],[s90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP211-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:37:26 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.43/0.48 % (2737652)Will run a generic schedule for satisfiability detection.
% 0.43/0.48 % (2737663)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3658135310:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.43/0.48 % (2737658)% WARNING: option uhcvi not known.
% 0.43/0.48 % (2737657)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=797929971_2999 on theBenchmark for (2999ds/0Mi)
% 0.43/0.48 % (2737659)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3918044479:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.43/0.48 % (2737660)dis+10_1_sil=32000:sp=arity:random_seed=2253301909:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.43/0.48 % (2737662)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4251685864:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.43/0.48 % (2737658)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3895863905:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.43/0.48 % (2737661)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3682015506:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.43/0.48 % TRYING [1]
% 0.43/0.48 % TRYING [2]
% 0.43/0.48 % TRYING [3]
% 0.43/0.48 % TRYING [4]
% 0.43/0.48 % (2737663) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2737652-2737663"...
% 0.43/0.48 % (2737663)...printing done.
% 0.43/0.48 % (2737661) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2737652-2737661"...
% 0.43/0.48 % (2737663)Refutation found. Thanks to Tanya!
% 0.43/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.43/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.43/0.49 % (2737663)------------------------------
% 0.43/0.49 % (2737663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.49 % (2737663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.49 % (2737663)CaDiCaL version: 2.1.3
% 0.43/0.49 % (2737663)Termination reason: Refutation
% 0.43/0.49 % (2737663)Time elapsed: 0.029 s
% 0.43/0.49 % (2737663)Peak memory usage: 13 MB
% 0.43/0.49 % (2737663)Instructions burned: 49 (million)
% 0.43/0.49 % (2737652)Success in time 0.052 s
% 0.43/0.49 % Vampire exiting
%------------------------------------------------------------------------------