%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP303-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 10:13:35 AM UTC 2026
% Result : Unsatisfiable 2.74s 1.28s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 40
% Syntax : Number of formulae : 258 ( 25 unt; 15 def)
% Number of atoms : 897 ( 231 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1237 ( 598 ~; 624 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
sk_c5 = multiply(sk_c6,sk_c7),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| inverse(X3) != sk_c6
| multiply(X3,sk_c5) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f50,definition,
( spl0_1
<=> ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f51,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f54,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,definition,
( spl0_3
<=> ! [X1] :
( sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f57,plain,
( ! [X1] :
( sk_c6 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,definition,
( spl0_4
<=> ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f60,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c6 != multiply(X0,sk_c7) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,definition,
( spl0_5
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f63,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f66,definition,
( spl0_6
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f67,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f68,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_6 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f48,f66,f62,f59,f56,f53,f50]) ).
fof(f71,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f73,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f75,definition,
( spl0_8
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f77,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f46,f75,f71]) ).
fof(f80,definition,
( spl0_9
<=> sk_c6 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f82,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f44,f75,f80]) ).
fof(f85,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f87,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f42,f75,f85]) ).
fof(f90,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f92,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f40,f75,f90]) ).
fof(f95,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f97,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f95,f71]) ).
fof(f99,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f95,f80]) ).
fof(f100,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f34,f95,f85]) ).
fof(f101,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f32,f95,f90]) ).
fof(f103,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f105,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f30,f103,f71]) ).
fof(f107,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f103,f80]) ).
fof(f108,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f103,f85]) ).
fof(f109,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f103,f90]) ).
fof(f111,definition,
( spl0_14
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f113,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f22,f111,f71]) ).
fof(f115,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f20,f111,f80]) ).
fof(f116,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f18,f111,f85]) ).
fof(f117,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f111,f90]) ).
fof(f118,plain,
spl0_5,
inference(avatar_split_clause,[],[f14,f62]) ).
fof(f119,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f66,f71]) ).
fof(f120,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f66,f80]) ).
fof(f121,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f66,f85]) ).
fof(f122,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f66,f90]) ).
fof(f123,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_9 ),
inference(superposition,[],[f3,f82]) ).
fof(f124,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f92]) ).
fof(f127,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f128,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_5 ),
inference(superposition,[],[f4,f63]) ).
fof(f129,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f123]) ).
fof(f131,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f73]) ).
fof(f132,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f129,f1]) ).
fof(f133,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f127,f1]) ).
fof(f142,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f132,f73]) ).
fof(f169,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_11 ),
inference(superposition,[],[f133,f124]) ).
fof(f175,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl0_9 ),
inference(superposition,[],[f133,f123]) ).
fof(f176,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f133,f87]) ).
fof(f185,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f176,f92]) ).
fof(f186,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f128,f185]) ).
fof(f189,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f186,f142]) ).
fof(f195,plain,
( multiply(sk_c4,sk_c5) = multiply(sk_c6,sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f131,f189]) ).
fof(f196,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f133,f189]) ).
fof(f198,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f196,f3]) ).
fof(f199,plain,
( sk_c5 = multiply(sk_c4,sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f195,f63]) ).
fof(f200,plain,
( sk_c6 = sk_c5
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f199,f73]) ).
fof(f205,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f169,f198]) ).
fof(f207,plain,
( identity = sk_c3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f205,f3]) ).
fof(f208,plain,
( sk_c7 = sk_c3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f207,f198]) ).
fof(f219,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f124,f208]) ).
fof(f222,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f219,f185]) ).
fof(f224,plain,
( sk_c7 = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f222,f198]) ).
fof(f241,plain,
( sk_c5 != multiply(sk_c6,sk_c6)
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f68,f224]) ).
fof(f254,plain,
( $false
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f241,f142]) ).
fof(f255,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f262,plain,
( ! [X1] :
( sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c6) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f57,f224]) ).
fof(f263,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f67,f200]) ).
fof(f264,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f263,f224]) ).
fof(f274,plain,
( sk_c7 != sk_c6
| sk_c6 != multiply(sk_c3,sk_c6)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f262,f92]) ).
fof(f276,plain,
( sk_c6 != multiply(sk_c3,sk_c6)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f274,f224]) ).
fof(f277,plain,
( sk_c7 != sk_c6
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f276,f87]) ).
fof(f278,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f277,f224]) ).
fof(f279,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f287,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f133,f97]) ).
fof(f289,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f287,f77]) ).
fof(f290,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f133,f113]) ).
fof(f292,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f290,f105]) ).
fof(f299,plain,
( sk_c6 != sk_c6
| sk_c7 != multiply(sk_c2,sk_c6)
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f57,f77]) ).
fof(f301,plain,
( sk_c7 != multiply(sk_c2,sk_c6)
| ~ spl0_3
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f299]) ).
fof(f308,definition,
( spl0_16
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f309,plain,
( sk_c7 = sk_c6
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f312,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f301,f97]) ).
fof(f313,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f319,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f60,f105]) ).
fof(f320,plain,
( sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_4
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f319]) ).
fof(f321,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f320,f113]) ).
fof(f322,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f334,plain,
( sk_c7 != sk_c6
| sk_c7 != multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f54,f82]) ).
fof(f335,plain,
( sk_c7 != sk_c6
| sk_c7 != multiply(sk_c2,sk_c6)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f54,f77]) ).
fof(f339,plain,
( sk_c7 != sk_c6
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f335,f97]) ).
fof(f345,plain,
( ~ spl0_16
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f339,f95,f75,f53,f308]) ).
fof(f346,plain,
( sk_c6 = sk_c5
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f289,f63]) ).
fof(f406,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f67,f292]) ).
fof(f414,plain,
( sk_c7 = sk_c6
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f406,f346]) ).
fof(f422,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c6) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f51,f346]) ).
fof(f423,plain,
( spl0_16
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f414,f111,f103,f95,f75,f66,f62,f308]) ).
fof(f438,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c2,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f422,f77]) ).
fof(f440,plain,
( sk_c6 != multiply(sk_c2,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f438]) ).
fof(f443,plain,
( sk_c7 != sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f440,f97]) ).
fof(f444,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f443,f309]) ).
fof(f445,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f448,plain,
( spl0_16
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f224,f90,f85,f80,f71,f62,f308]) ).
fof(f463,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f92,f309]) ).
fof(f464,plain,
( sk_c6 = sk_c3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f208,f309]) ).
fof(f470,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f463,f464]) ).
fof(f479,plain,
( sk_c4 = multiply(sk_c6,identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f175,f470]) ).
fof(f482,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f3,f470]) ).
fof(f483,plain,
( identity = sk_c5
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f482,f142]) ).
fof(f515,plain,
( ! [X0] :
( inverse(X0) != sk_c6
| sk_c6 != multiply(X0,sk_c7) )
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f60,f309]) ).
fof(f516,plain,
( ! [X0] :
( inverse(X0) != sk_c6
| sk_c6 != multiply(X0,sk_c6) )
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f515,f309]) ).
fof(f519,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c6,sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f516,f470]) ).
fof(f520,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f519]) ).
fof(f523,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f520,f264]) ).
fof(f524,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f540,plain,
( sk_c4 = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f479,f222]) ).
fof(f541,plain,
( sk_c6 = sk_c5
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f483,f222]) ).
fof(f543,plain,
( sk_c5 = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f540,f142]) ).
fof(f549,plain,
( sk_c6 = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f543,f541]) ).
fof(f550,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c6) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f51,f541]) ).
fof(f560,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f550,f82]) ).
fof(f563,plain,
( sk_c6 != multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f560]) ).
fof(f566,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f563,f549]) ).
fof(f567,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f566,f264]) ).
fof(f568,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f570,plain,
( sk_c7 != multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f334,f309]) ).
fof(f573,plain,
( sk_c7 != multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f570,f549]) ).
fof(f575,plain,
( sk_c7 != sk_c5
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f573,f142]) ).
fof(f577,plain,
( sk_c7 != sk_c6
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f575,f541]) ).
fof(f580,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f577,f309]) ).
fof(f581,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f580]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f69]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f78]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f83]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f88]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f93]) ).
cnf(s6,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f98]) ).
cnf(s7,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f99]) ).
cnf(s8,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f100]) ).
cnf(s9,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f101]) ).
cnf(s10,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f106]) ).
cnf(s11,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f107]) ).
cnf(s12,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f108]) ).
cnf(s13,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f109]) ).
cnf(s14,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f114]) ).
cnf(s15,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f115]) ).
cnf(s16,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f116]) ).
cnf(s17,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f117]) ).
cnf(s18,plain,
spl0_5,
inference(sat_conversion,[],[f118]) ).
cnf(s19,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f119]) ).
cnf(s20,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f120]) ).
cnf(s21,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f121]) ).
cnf(s22,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f122]) ).
cnf(s23,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f255]) ).
cnf(s24,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f279]) ).
cnf(s26,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f313]) ).
cnf(s27,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f322]) ).
cnf(s32,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f345]) ).
cnf(s35,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f423]) ).
cnf(s37,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f445]) ).
cnf(s40,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f448]) ).
cnf(s45,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(sat_conversion,[],[f524]) ).
cnf(s49,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(sat_conversion,[],[f568]) ).
cnf(s51,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(sat_conversion,[],[f581]) ).
cnf(s52,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1,s18]) ).
cnf(s53,plain,
spl0_6,
inference(rat,[],[s23,s19,s20,s21,s22,s18]) ).
cnf(s55,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s45,s40,s18,s53]) ).
cnf(s56,plain,
( spl0_11
| ~ spl0_4 ),
inference(rat,[],[s27,s13,s17]) ).
cnf(s57,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s27,s12,s16]) ).
cnf(s58,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s27,s11,s15]) ).
cnf(s59,plain,
( ~ spl0_9
| ~ spl0_4
| ~ spl0_11
| ~ spl0_10 ),
inference(rat,[],[s27,s10,s14,s55]) ).
cnf(s60,plain,
~ spl0_4,
inference(rat,[],[s59,s58,s57,s56]) ).
cnf(s61,plain,
( spl0_11
| ~ spl0_3 ),
inference(rat,[],[s26,s5,s9]) ).
cnf(s62,plain,
( spl0_10
| ~ spl0_3 ),
inference(rat,[],[s26,s4,s8]) ).
cnf(s63,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s26,s3,s7]) ).
cnf(s64,plain,
( ~ spl0_9
| ~ spl0_11
| ~ spl0_3
| ~ spl0_10 ),
inference(rat,[],[s26,s2,s6,s24,s18]) ).
cnf(s65,plain,
~ spl0_3,
inference(rat,[],[s64,s63,s62,s61]) ).
cnf(s66,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9 ),
inference(rat,[],[s40,s51,s18]) ).
cnf(s67,plain,
( spl0_11
| ~ spl0_2 ),
inference(rat,[],[s32,s35,s5,s9,s13,s17,s18,s53]) ).
cnf(s68,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s32,s35,s4,s8,s12,s16,s18,s53]) ).
cnf(s69,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s32,s35,s3,s7,s11,s15,s18,s53]) ).
cnf(s70,plain,
( ~ spl0_9
| ~ spl0_11
| ~ spl0_2
| ~ spl0_10 ),
inference(rat,[],[s32,s35,s2,s6,s10,s14,s66,s53,s18]) ).
cnf(s71,plain,
~ spl0_2,
inference(rat,[],[s70,s69,s68,s67]) ).
cnf(s72,plain,
spl0_1,
inference(rat,[],[s52,s60,s53,s65,s71]) ).
cnf(s73,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s40,s49,s72,s53,s18]) ).
cnf(s74,plain,
( ~ spl0_12
| ~ spl0_14
| ~ spl0_8
| ~ spl0_13 ),
inference(rat,[],[s37,s35,s53,s72,s18]) ).
cnf(s75,plain,
spl0_11,
inference(rat,[],[s74,s5,s9,s13,s17]) ).
cnf(s76,plain,
spl0_10,
inference(rat,[],[s74,s4,s8,s12,s16]) ).
cnf(s77,plain,
spl0_9,
inference(rat,[],[s74,s3,s7,s11,s15]) ).
cnf(s78,plain,
~ spl0_7,
inference(rat,[],[s73,s76,s75,s77]) ).
cnf(s79,plain,
spl0_14,
inference(rat,[],[s14,s78]) ).
cnf(s80,plain,
spl0_13,
inference(rat,[],[s10,s78]) ).
cnf(s81,plain,
spl0_12,
inference(rat,[],[s6,s78]) ).
cnf(s82,plain,
spl0_8,
inference(rat,[],[s2,s78]) ).
cnf(s83,plain,
$false,
inference(rat,[],[s74,s80,s82,s79,s81]) ).
fof(f582,plain,
$false,
inference(avatar_sat_refutation,[],[s83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP303-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 09:51:08 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.74/1.28 % (2087211)Input is clausal, will run a generic CNF schedule.
% 2.74/1.28 % (2087219)lrs+10_1_sil=8000:sp=occurrence:random_seed=1014643414:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.74/1.28 % (2087219)Refutation not found, incomplete strategy
% 2.74/1.28 % (2087219)------------------------------
% 2.74/1.28 % (2087219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.28 % (2087219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.28 % (2087219)CaDiCaL version: 2.1.3
% 2.74/1.28 % (2087219)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.28 % (2087219)Time elapsed: 0.001 s
% 2.74/1.28 % (2087219)Peak memory usage: 88 MB
% 2.74/1.28 % (2087219)Instructions burned: 2 (million)
% 2.74/1.28 % (2087217)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2491163355:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.74/1.28 % (2087220)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3153451278:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.74/1.28 % (2087221)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3920991372:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.74/1.28 % (2087218)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=88559787:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.74/1.28 % (2087216)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=1808847199:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.74/1.28 % (2087221)First to succeed.
% 2.74/1.28 % (2087221)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2087211"
% 2.74/1.28 % (2087222)dis-21_1_sil=8000:lcm=predicate:random_seed=423484993: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)
% 2.74/1.28 % (2087222)Refutation not found, incomplete strategy
% 2.74/1.28 % (2087222)------------------------------
% 2.74/1.28 % (2087222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.28 % (2087222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.28 % (2087222)CaDiCaL version: 2.1.3
% 2.74/1.28 % (2087222)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.28 % (2087222)Time elapsed: 0.002 s
% 2.74/1.28 % (2087222)Peak memory usage: 88 MB
% 2.74/1.28 % (2087222)Instructions burned: 1 (million)
% 2.74/1.28 % (2087220)Instruction limit reached!
% 2.74/1.28 % (2087220)------------------------------
% 2.74/1.28 % (2087220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.28 % (2087220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.28 % (2087220)CaDiCaL version: 2.1.3
% 2.74/1.28 % (2087220)Termination reason: Instruction limit
% 2.74/1.28 % (2087220)Termination phase: Saturation
% 2.74/1.28 % (2087220)Time elapsed: 0.068 s
% 2.74/1.28 % (2087220)Peak memory usage: 89 MB
% 2.74/1.28 % (2087220)Instructions burned: 115 (million)
% 2.74/1.28 % (2087219)------------------------------
% 2.74/1.28 % (2087219)------------------------------
% 2.74/1.28 % (2087231)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3129557065:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.74/1.28 % (2087231)Refutation not found, incomplete strategy
% 2.74/1.28 % (2087231)------------------------------
% 2.74/1.28 % (2087231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.28 % (2087231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.28 % (2087231)CaDiCaL version: 2.1.3
% 2.74/1.28 % (2087231)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.28 % (2087231)Time elapsed: 0.001 s
% 2.74/1.28 % (2087231)Peak memory usage: 88 MB
% 2.74/1.28 % (2087231)Instructions burned: 2 (million)
% 2.74/1.28 % (2087230)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=700754357:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.74/1.28 % (2087230)Also succeeded, but the first one will report.
% 2.74/1.28 % (2087221)Refutation found. Thanks to Tanya!
% 2.74/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.74/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.48 % (2087221)------------------------------
% 3.63/1.48 % (2087221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.48 % (2087221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.48 % (2087221)CaDiCaL version: 2.1.3
% 3.63/1.48 % (2087221)Termination reason: Refutation
% 3.63/1.48 % (2087221)Time elapsed: 0.015 s
% 3.63/1.48 % (2087221)Peak memory usage: 89 MB
% 3.63/1.48 % (2087221)Instructions burned: 21 (million)
% 3.63/1.48 % (2087221)------------------------------
% 3.63/1.48 % (2087221)------------------------------
% 3.63/1.48 % (2087211)Success in time 0.433 s
% 3.63/1.48 % Vampire exiting
%------------------------------------------------------------------------------