%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP387-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 10:13:49 AM UTC 2026
% Result : Unsatisfiable 2.65s 1.30s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 46
% Syntax : Number of formulae : 326 ( 21 unt; 18 def)
% Number of atoms : 1197 ( 310 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1695 ( 824 ~; 853 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c7) = sk_c6
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c7) = sk_c6
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( inverse(sk_c7) = sk_c6
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c7) = sk_c6
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( inverse(sk_c7) = sk_c6
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| multiply(sk_c3,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f22]) ).
fof(f28,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| multiply(sk_c3,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c7 = inverse(sk_c1)
| multiply(sk_c3,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f46]) ).
fof(f52,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| multiply(sk_c3,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f58]) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1] :
( inverse(sk_c7) != sk_c6
| multiply(sk_c6,sk_c5) != sk_c7
| multiply(sk_c7,sk_c5) != sk_c6
| inverse(X0) != sk_c7
| multiply(X0,sk_c6) != sk_c7
| multiply(X1,sk_c7) != sk_c6
| inverse(X1) != sk_c7
| multiply(X2,sk_c6) != sk_c5
| inverse(X2) != sk_c6
| inverse(X3) != sk_c5
| multiply(X3,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( inverse(sk_c7) != sk_c6
| sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != multiply(sk_c7,sk_c5)
| inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6)
| sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c5 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2)
| sk_c5 != inverse(X3)
| sk_c5 != multiply(X3,sk_c7) ),
inference(reorient_equations,[],[f64]) ).
fof(f67,definition,
( spl0_1
<=> ! [X3] :
( sk_c5 != inverse(X3)
| sk_c5 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f68,plain,
( ! [X3] :
( sk_c5 != inverse(X3)
| sk_c5 != multiply(X3,sk_c7) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,definition,
( spl0_2
<=> ! [X2] :
( sk_c5 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f71,plain,
( ! [X2] :
( sk_c5 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,definition,
( spl0_3
<=> ! [X1] :
( sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f74,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c6 != multiply(X1,sk_c7) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl0_4
<=> ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f77,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,definition,
( spl0_5
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f80,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| spl0_5 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f83,definition,
( spl0_6
<=> sk_c7 = multiply(sk_c6,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f84,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f85,plain,
( sk_c7 != multiply(sk_c6,sk_c5)
| spl0_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl0_7
<=> inverse(sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f88,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( inverse(sk_c7) != sk_c6
| spl0_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f65,f87,f83,f79,f76,f73,f70,f67]) ).
fof(f92,definition,
( spl0_8
<=> sk_c5 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f94,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f96,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f98,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f101,definition,
( spl0_10
<=> sk_c5 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f103,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f106,definition,
( spl0_11
<=> sk_c6 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f108,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f109,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f59,f96,f106]) ).
fof(f111,definition,
( spl0_12
<=> multiply(sk_c3,sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f113,plain,
( multiply(sk_c3,sk_c6) = sk_c5
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f57,f96,f111]) ).
fof(f116,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f118,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f55,f96,f116]) ).
fof(f121,definition,
( spl0_14
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f123,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,plain,
( spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f53,f96,f121]) ).
fof(f126,definition,
( spl0_15
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f128,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f131,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f47,f126,f106]) ).
fof(f132,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f45,f126,f111]) ).
fof(f133,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f43,f126,f116]) ).
fof(f134,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f41,f126,f121]) ).
fof(f135,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f39,f79,f92]) ).
fof(f136,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f37,f79,f101]) ).
fof(f137,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f35,f79,f106]) ).
fof(f138,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f33,f79,f111]) ).
fof(f139,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f79,f116]) ).
fof(f140,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f29,f79,f121]) ).
fof(f143,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f83,f106]) ).
fof(f144,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f21,f83,f111]) ).
fof(f145,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f19,f83,f116]) ).
fof(f146,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f17,f83,f121]) ).
fof(f147,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f15,f87,f92]) ).
fof(f148,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f13,f87,f101]) ).
fof(f149,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f11,f87,f106]) ).
fof(f150,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f87,f111]) ).
fof(f151,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f87,f116]) ).
fof(f152,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f87,f121]) ).
fof(f153,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f103]) ).
fof(f154,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f108]) ).
fof(f155,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_13 ),
inference(superposition,[],[f3,f118]) ).
fof(f158,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f159,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_14 ),
inference(superposition,[],[f4,f123]) ).
fof(f161,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f94]) ).
fof(f162,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f158,f1]) ).
fof(f183,plain,
( multiply(sk_c5,sk_c2) = multiply(sk_c4,identity)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f161,f155]) ).
fof(f201,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl0_11 ),
inference(superposition,[],[f162,f154]) ).
fof(f203,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f162,f123]) ).
fof(f205,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c5)
| ~ spl0_12 ),
inference(superposition,[],[f162,f113]) ).
fof(f207,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl0_10 ),
inference(superposition,[],[f162,f153]) ).
fof(f217,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f205,f108]) ).
fof(f219,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f203,f118]) ).
fof(f221,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f162,f217]) ).
fof(f223,plain,
( identity = sk_c5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f221,f3]) ).
fof(f226,plain,
( multiply(sk_c2,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f159,f219]) ).
fof(f227,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f162,f219]) ).
fof(f229,plain,
( identity = sk_c6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f227,f3]) ).
fof(f230,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f226,f123]) ).
fof(f234,plain,
( sk_c6 = sk_c5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f229,f223]) ).
fof(f237,plain,
( sk_c3 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f201,f223]) ).
fof(f242,plain,
( sk_c6 != multiply(sk_c7,sk_c6)
| spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f81,f234]) ).
fof(f243,plain,
( sk_c7 != sk_c6
| spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f242,f219]) ).
fof(f246,plain,
( sk_c4 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f207,f223]) ).
fof(f247,plain,
( identity = sk_c4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f246,f3]) ).
fof(f248,plain,
( sk_c5 = sk_c4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f247,f223]) ).
fof(f249,plain,
( sk_c6 = sk_c4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f248,f234]) ).
fof(f263,plain,
( sk_c3 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f237,f234]) ).
fof(f264,plain,
( identity = sk_c3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f263,f3]) ).
fof(f265,plain,
( sk_c3 = sk_c5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f264,f223]) ).
fof(f266,plain,
( sk_c6 = sk_c3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f265,f234]) ).
fof(f297,plain,
( multiply(sk_c5,sk_c2) = multiply(sk_c4,sk_c5)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f183,f223]) ).
fof(f298,plain,
( multiply(sk_c6,sk_c2) = multiply(sk_c4,sk_c6)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f297,f234]) ).
fof(f299,plain,
( multiply(sk_c6,sk_c2) = multiply(sk_c6,sk_c6)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f298,f249]) ).
fof(f314,plain,
( sk_c6 = multiply(sk_c6,sk_c2)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f299,f230]) ).
fof(f316,plain,
( sk_c2 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f162,f314]) ).
fof(f318,plain,
( identity = sk_c2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f316,f3]) ).
fof(f320,plain,
( sk_c2 = sk_c5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f318,f223]) ).
fof(f322,plain,
( sk_c6 = sk_c2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f320,f234]) ).
fof(f325,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f118,f322]) ).
fof(f327,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f155,f322]) ).
fof(f331,plain,
( identity = sk_c7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f327,f219]) ).
fof(f333,plain,
( sk_c7 = sk_c6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f331,f229]) ).
fof(f340,plain,
( $false
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f333,f243]) ).
fof(f341,plain,
( spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f342,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f80,f234]) ).
fof(f343,plain,
( sk_c7 = sk_c6
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f342,f219]) ).
fof(f344,plain,
( sk_c5 = multiply(sk_c3,sk_c7)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f113,f343]) ).
fof(f362,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f344,f266]) ).
fof(f368,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f362,f343]) ).
fof(f370,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f368,f234]) ).
fof(f372,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f370,f343]) ).
fof(f373,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_5
| spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f89,f343]) ).
fof(f422,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f325,f343]) ).
fof(f423,plain,
( $false
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f422,f373]) ).
fof(f424,plain,
( ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f425,plain,
( sk_c7 != sk_c6
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f85,f217]) ).
fof(f427,plain,
( $false
| ~ spl0_5
| spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f425,f343]) ).
fof(f428,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f429,plain,
( ! [X2] :
( sk_c5 != multiply(X2,sk_c7)
| sk_c6 != inverse(X2) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f71,f343]) ).
fof(f431,plain,
( ! [X2] :
( sk_c6 != multiply(X2,sk_c7)
| sk_c6 != inverse(X2) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f429,f234]) ).
fof(f433,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c6 != inverse(X2) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f431,f343]) ).
fof(f434,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c7) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f433,f343]) ).
fof(f456,plain,
( sk_c7 != sk_c6
| sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f434,f108]) ).
fof(f461,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f456,f343]) ).
fof(f467,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f461,f266]) ).
fof(f473,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f467,f343]) ).
fof(f476,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f473,f372]) ).
fof(f477,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f478,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c7) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f74,f343]) ).
fof(f482,plain,
( sk_c7 != sk_c6
| sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f478,f108]) ).
fof(f487,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f482,f343]) ).
fof(f493,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f487,f266]) ).
fof(f499,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f493,f343]) ).
fof(f502,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f499,f372]) ).
fof(f503,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f502]) ).
fof(f504,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c7) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f77,f343]) ).
fof(f508,plain,
( sk_c7 != sk_c6
| sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f504,f108]) ).
fof(f513,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f508,f343]) ).
fof(f519,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f513,f266]) ).
fof(f525,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f519,f343]) ).
fof(f528,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f525,f372]) ).
fof(f529,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f530,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c5 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f68,f234]) ).
fof(f531,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c5 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f530,f343]) ).
fof(f532,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f531,f234]) ).
fof(f533,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f532,f343]) ).
fof(f556,plain,
( sk_c7 != sk_c6
| sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f533,f108]) ).
fof(f561,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f556,f343]) ).
fof(f567,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f561,f266]) ).
fof(f573,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f567,f343]) ).
fof(f576,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f573,f372]) ).
fof(f577,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f585,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_7 ),
inference(superposition,[],[f3,f88]) ).
fof(f601,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_15 ),
inference(superposition,[],[f3,f128]) ).
fof(f613,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f162,f98]) ).
fof(f614,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f98]) ).
fof(f615,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f613,f128]) ).
fof(f751,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f162,f80]) ).
fof(f753,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f751,f88]) ).
fof(f762,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f74,f128]) ).
fof(f763,plain,
( sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_3
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f762]) ).
fof(f769,definition,
( spl0_17
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f770,plain,
( sk_c7 = sk_c6
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f774,definition,
( spl0_18
<=> sk_c6 = multiply(sk_c7,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f775,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f781,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f84,f770]) ).
fof(f805,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f162,f781]) ).
fof(f807,plain,
( identity = sk_c5
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f805,f3]) ).
fof(f846,plain,
( ! [X2] :
( sk_c5 != multiply(X2,sk_c7)
| sk_c6 != inverse(X2) )
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f71,f770]) ).
fof(f847,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c5 != multiply(X2,sk_c7) )
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f846,f770]) ).
fof(f905,plain,
( sk_c5 = multiply(sk_c7,sk_c1)
| ~ spl0_6
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f601,f807]) ).
fof(f918,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_15 ),
inference(superposition,[],[f162,f601]) ).
fof(f921,plain,
( sk_c1 = multiply(sk_c6,identity)
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f918,f88]) ).
fof(f923,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c1,sk_c7)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f614,f84]) ).
fof(f928,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f923,f80]) ).
fof(f930,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f928,f763]) ).
fof(f931,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f930]) ).
fof(f934,plain,
( spl0_18
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f615,f126,f96,f774]) ).
fof(f936,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f77,f128]) ).
fof(f937,plain,
( sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_4
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f936]) ).
fof(f938,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f937,f98]) ).
fof(f939,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f938]) ).
fof(f941,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_18 ),
inference(superposition,[],[f162,f775]) ).
fof(f943,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f941,f88]) ).
fof(f945,plain,
( sk_c6 != sk_c5
| sk_c5 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f68,f88]) ).
fof(f952,definition,
( spl0_20
<=> sk_c7 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f953,plain,
( sk_c7 = sk_c5
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f956,plain,
( sk_c6 != sk_c5
| sk_c6 != sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f945,f775]) ).
fof(f957,plain,
( sk_c6 != sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f956]) ).
fof(f1001,plain,
( sk_c7 = sk_c5
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f753,f943]) ).
fof(f1007,plain,
( spl0_20
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1001,f774,f87,f79,f952]) ).
fof(f1011,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl0_6
| ~ spl0_20 ),
inference(superposition,[],[f84,f953]) ).
fof(f1013,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f1011,f585]) ).
fof(f1025,plain,
( sk_c1 = multiply(sk_c6,sk_c7)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f921,f1013]) ).
fof(f1027,plain,
( sk_c7 = sk_c1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1025,f1011]) ).
fof(f1049,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f128,f1027]) ).
fof(f1050,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f601,f1027]) ).
fof(f1055,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1050,f775]) ).
fof(f1056,plain,
( sk_c7 = sk_c6
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1055,f1013]) ).
fof(f1063,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f905,f1027]) ).
fof(f1066,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1056,f952,f774,f126,f87,f83,f769]) ).
fof(f1069,plain,
( sk_c6 = sk_c5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1063,f775]) ).
fof(f1070,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1069,f957]) ).
fof(f1071,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1073,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c7) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f847,f953]) ).
fof(f1118,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20 ),
inference(superposition,[],[f1073,f1049]) ).
fof(f1122,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f1118]) ).
fof(f1125,plain,
( sk_c7 != sk_c6
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1122,f775]) ).
fof(f1129,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1125,f770]) ).
fof(f1130,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f90]) ).
cnf(s4,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f109]) ).
cnf(s5,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f114]) ).
cnf(s6,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f119]) ).
cnf(s7,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f124]) ).
cnf(s10,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f131]) ).
cnf(s11,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f132]) ).
cnf(s12,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f133]) ).
cnf(s13,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f134]) ).
cnf(s14,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f135]) ).
cnf(s15,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f136]) ).
cnf(s16,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f137]) ).
cnf(s17,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f138]) ).
cnf(s18,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s19,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s22,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f143]) ).
cnf(s23,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f144]) ).
cnf(s24,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f145]) ).
cnf(s25,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s26,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f147]) ).
cnf(s27,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f148]) ).
cnf(s28,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f149]) ).
cnf(s29,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f150]) ).
cnf(s30,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f151]) ).
cnf(s31,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f152]) ).
cnf(s33,plain,
( spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f341]) ).
cnf(s34,plain,
( ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f424]) ).
cnf(s35,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f428]) ).
cnf(s40,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f477]) ).
cnf(s45,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f503]) ).
cnf(s50,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f529]) ).
cnf(s55,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f577]) ).
cnf(s85,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15 ),
inference(sat_conversion,[],[f931]) ).
cnf(s87,plain,
( ~ spl0_9
| ~ spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f934]) ).
cnf(s88,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(sat_conversion,[],[f939]) ).
cnf(s90,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_18
| spl0_20 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s96,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s98,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s103,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(sat_conversion,[],[f1130]) ).
cnf(s105,plain,
spl0_5,
inference(rat,[],[s33,s14,s15,s16,s17,s18,s19]) ).
cnf(s106,plain,
spl0_6,
inference(rat,[],[s35,s22,s23,s24,s25,s105]) ).
cnf(s107,plain,
spl0_7,
inference(rat,[],[s34,s26,s27,s28,s29,s30,s31,s105]) ).
cnf(s108,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s50,s4,s5,s6,s7,s105]) ).
cnf(s109,plain,
( ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s50,s10,s11,s12,s13,s88,s105]) ).
cnf(s110,plain,
~ spl0_4,
inference(rat,[],[s109,s108]) ).
cnf(s111,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s45,s4,s5,s6,s7,s105]) ).
cnf(s112,plain,
( ~ spl0_9
| ~ spl0_3 ),
inference(rat,[],[s45,s10,s11,s12,s13,s85,s106,s105]) ).
cnf(s113,plain,
~ spl0_3,
inference(rat,[],[s112,s111]) ).
cnf(s114,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s40,s4,s5,s6,s7,s105]) ).
cnf(s116,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_2
| ~ spl0_15 ),
inference(rat,[],[s96,s103,s107,s106]) ).
cnf(s117,plain,
( ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s116,s90,s87,s114,s105,s107]) ).
cnf(s118,plain,
~ spl0_2,
inference(rat,[],[s40,s10,s11,s12,s13,s117,s105]) ).
cnf(s119,plain,
spl0_1,
inference(rat,[],[s1,s106,s110,s107,s105,s113,s118]) ).
cnf(s122,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_15 ),
inference(rat,[],[s96,s98,s119,s107,s106]) ).
cnf(s123,plain,
( ~ spl0_15
| ~ spl0_9 ),
inference(rat,[],[s122,s90,s87,s107,s105]) ).
cnf(s124,plain,
spl0_15,
inference(rat,[],[s55,s10,s11,s12,s13,s105,s119]) ).
cnf(s125,plain,
~ spl0_9,
inference(rat,[],[s123,s124]) ).
cnf(s126,plain,
spl0_14,
inference(rat,[],[s7,s125]) ).
cnf(s127,plain,
spl0_13,
inference(rat,[],[s6,s125]) ).
cnf(s128,plain,
spl0_12,
inference(rat,[],[s5,s125]) ).
cnf(s129,plain,
spl0_11,
inference(rat,[],[s4,s125]) ).
cnf(s132,plain,
$false,
inference(rat,[],[s55,s128,s129,s119,s105,s126,s127]) ).
fof(f1133,plain,
$false,
inference(avatar_sat_refutation,[],[s132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP387-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:05:17 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.65/1.30 % (2387490)Input is clausal, will run a generic CNF schedule.
% 2.65/1.30 % (2387501)dis-21_1_sil=8000:lcm=predicate:random_seed=2075586106: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)
% 2.65/1.30 % (2387501)Refutation not found, incomplete strategy
% 2.65/1.30 % (2387501)------------------------------
% 2.65/1.30 % (2387501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.30 % (2387501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.30 % (2387501)CaDiCaL version: 2.1.3
% 2.65/1.30 % (2387501)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.30 % (2387501)Time elapsed: 0.001 s
% 2.65/1.30 % (2387501)Peak memory usage: 88 MB
% 2.65/1.30 % (2387501)Instructions burned: 1 (million)
% 2.65/1.30 % (2387496)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3644666772:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.65/1.30 % (2387497)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=711582348:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.65/1.30 % (2387498)lrs+10_1_sil=8000:sp=occurrence:random_seed=1024261824:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.65/1.30 % (2387499)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3952550091:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.65/1.30 % (2387495)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=957924431:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.65/1.30 % (2387500)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1997763041:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.65/1.30 % (2387498)Refutation not found, incomplete strategy
% 2.65/1.30 % (2387498)------------------------------
% 2.65/1.30 % (2387498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.30 % (2387498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.30 % (2387498)CaDiCaL version: 2.1.3
% 2.65/1.30 % (2387498)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.30 % (2387498)Time elapsed: 0.002 s
% 2.65/1.30 % (2387498)Peak memory usage: 88 MB
% 2.65/1.30 % (2387498)Instructions burned: 2 (million)
% 2.65/1.30 % (2387500)First to succeed.
% 2.65/1.30 % (2387500)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2387490"
% 2.65/1.30 % (2387499)Instruction limit reached!
% 2.65/1.30 % (2387499)------------------------------
% 2.65/1.30 % (2387499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.30 % (2387499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.30 % (2387499)CaDiCaL version: 2.1.3
% 2.65/1.30 % (2387499)Termination reason: Instruction limit
% 2.65/1.30 % (2387499)Termination phase: Saturation
% 2.65/1.30 % (2387499)Time elapsed: 0.067 s
% 2.65/1.30 % (2387499)Peak memory usage: 89 MB
% 2.65/1.30 % (2387499)Instructions burned: 115 (million)
% 2.65/1.30 % (2387501)------------------------------
% 2.65/1.30 % (2387501)------------------------------
% 2.65/1.30 % (2387510)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1100428551: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)
% 2.65/1.30 % (2387510)Refutation not found, incomplete strategy
% 2.65/1.30 % (2387510)------------------------------
% 2.65/1.30 % (2387510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.30 % (2387510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.30 % (2387510)CaDiCaL version: 2.1.3
% 2.65/1.30 % (2387510)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.30 % (2387510)Time elapsed: 0.001 s
% 2.65/1.30 % (2387510)Peak memory usage: 88 MB
% 2.65/1.30 % (2387510)Instructions burned: 3 (million)
% 2.65/1.30 % (2387509)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=3634267294:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.65/1.30 % (2387509)Refutation not found, incomplete strategy
% 2.65/1.30 % (2387509)------------------------------
% 2.65/1.30 % (2387509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.30 % (2387509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.30 % (2387509)CaDiCaL version: 2.1.3
% 2.65/1.30 % (2387509)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.30 % (2387509)Time elapsed: 0.003 s
% 2.65/1.30 % (2387509)Peak memory usage: 88 MB
% 2.65/1.30 % (2387509)Instructions burned: 2 (million)
% 2.65/1.30 % (2387498)------------------------------
% 2.65/1.30 % (2387498)------------------------------
% 2.65/1.30 % (2387500)Refutation found. Thanks to Tanya!
% 2.65/1.30 % SZS status Unsatisfiable for theBenchmark
% 2.65/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.39 % (2387500)------------------------------
% 3.56/1.39 % (2387500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.39 % (2387500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.39 % (2387500)CaDiCaL version: 2.1.3
% 3.56/1.39 % (2387500)Termination reason: Refutation
% 3.56/1.39 % (2387500)Time elapsed: 0.025 s
% 3.56/1.39 % (2387500)Peak memory usage: 89 MB
% 3.56/1.39 % (2387500)Instructions burned: 36 (million)
% 3.56/1.39 % (2387500)------------------------------
% 3.56/1.39 % (2387500)------------------------------
% 3.56/1.39 % (2387490)Success in time 0.443 s
% 3.56/1.39 % Vampire exiting
%------------------------------------------------------------------------------