%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD026-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:49:04 AM UTC 2026
% Result : Unsatisfiable 5.95s 3.05s
% Output : Refutation 17.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 17
% Syntax : Number of formulae : 83 ( 31 unt; 2 def)
% Number of atoms : 158 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 184 ( 109 ~; 75 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( ~ defined(X0)
| equalish(add(additive_identity,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,multiply(X1,X2)),multiply(multiply(X0,X1),X2))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication) ).
fof(f6,axiom,
! [X0] :
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f8,axiom,
! [X0,X1] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f13,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f15,axiom,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
fof(f31,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_4) ).
fof(f32,negated_conjecture,
~ equalish(multiplicative_inverse(a),multiplicative_inverse(b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverses_not_equal) ).
fof(f33,definition,
sF0 = multiplicative_inverse(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f34,plain,
multiplicative_inverse(a) = sF0,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF1 = multiplicative_inverse(b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f36,plain,
multiplicative_inverse(b) = sF1,
inference(reorient_equations,[],[f35]) ).
fof(f37,plain,
~ equalish(sF0,sF1),
inference(definition_folding,[],[f32,f36,f34]) ).
fof(f65,plain,
( defined(sF0)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(superposition,[],[f15,f34]) ).
fof(f66,plain,
( defined(sF1)
| ~ defined(b)
| equalish(b,additive_identity) ),
inference(superposition,[],[f15,f36]) ).
fof(f67,plain,
( defined(sF1)
| equalish(b,additive_identity) ),
inference(forward_subsumption_resolution,[],[f66,f29]) ).
fof(f68,plain,
( defined(sF0)
| equalish(a,additive_identity) ),
inference(forward_subsumption_resolution,[],[f65,f28]) ).
fof(f69,plain,
defined(sF0),
inference(forward_subsumption_resolution,[],[f68,f30]) ).
fof(f70,plain,
equalish(multiply(multiplicative_identity,sF0),sF0),
inference(resolution,[],[f69,f6]) ).
fof(f73,plain,
( equalish(b,additive_identity)
| equalish(multiply(multiplicative_identity,sF1),sF1) ),
inference(resolution,[],[f67,f6]) ).
fof(f74,plain,
( equalish(b,additive_identity)
| equalish(add(additive_identity,sF1),sF1) ),
inference(resolution,[],[f67,f2]) ).
fof(f79,plain,
! [X0] :
( ~ equalish(a,X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f23,f30]) ).
fof(f80,plain,
! [X0] :
( ~ equalish(sF0,X0)
| ~ equalish(X0,sF1) ),
inference(resolution,[],[f23,f37]) ).
fof(f82,plain,
~ equalish(b,additive_identity),
inference(resolution,[],[f79,f31]) ).
fof(f86,plain,
equalish(add(additive_identity,sF1),sF1),
inference(resolution,[],[f82,f74]) ).
fof(f87,plain,
equalish(multiply(multiplicative_identity,sF1),sF1),
inference(resolution,[],[f82,f73]) ).
fof(f94,plain,
! [X0] :
( ~ equalish(X0,sF1)
| ~ equalish(X0,sF0) ),
inference(resolution,[],[f80,f22]) ).
fof(f116,plain,
~ equalish(add(additive_identity,sF1),sF0),
inference(resolution,[],[f94,f86]) ).
fof(f119,plain,
! [X0] :
( ~ equalish(add(additive_identity,sF1),X0)
| ~ equalish(X0,sF0) ),
inference(resolution,[],[f116,f23]) ).
fof(f163,plain,
! [X0] :
( ~ equalish(X0,sF0)
| ~ equalish(X0,add(additive_identity,sF1)) ),
inference(resolution,[],[f119,f22]) ).
fof(f199,plain,
~ equalish(multiply(multiplicative_identity,sF0),add(additive_identity,sF1)),
inference(resolution,[],[f163,f70]) ).
fof(f204,plain,
~ equalish(add(additive_identity,sF1),multiply(multiplicative_identity,sF0)),
inference(resolution,[],[f199,f22]) ).
fof(f207,plain,
! [X0] :
( ~ equalish(add(additive_identity,sF1),X0)
| ~ equalish(X0,multiply(multiplicative_identity,sF0)) ),
inference(resolution,[],[f204,f23]) ).
fof(f571,plain,
~ equalish(sF1,multiply(multiplicative_identity,sF0)),
inference(resolution,[],[f207,f86]) ).
fof(f576,plain,
~ equalish(multiply(multiplicative_identity,sF0),sF1),
inference(resolution,[],[f571,f22]) ).
fof(f577,plain,
! [X0] :
( ~ equalish(multiply(multiplicative_identity,sF0),X0)
| ~ equalish(X0,sF1) ),
inference(resolution,[],[f576,f23]) ).
fof(f583,plain,
! [X0,X1] :
( ~ equalish(multiply(multiplicative_identity,sF0),X1)
| ~ equalish(X0,sF1)
| ~ equalish(X1,X0) ),
inference(resolution,[],[f577,f23]) ).
fof(f676,plain,
( equalish(multiply(a,sF0),multiplicative_identity)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(superposition,[],[f7,f34]) ).
fof(f677,plain,
( equalish(multiply(b,sF1),multiplicative_identity)
| ~ defined(b)
| equalish(b,additive_identity) ),
inference(superposition,[],[f7,f36]) ).
fof(f678,plain,
( equalish(multiply(b,sF1),multiplicative_identity)
| equalish(b,additive_identity) ),
inference(forward_subsumption_resolution,[],[f677,f29]) ).
fof(f679,plain,
( equalish(multiply(a,sF0),multiplicative_identity)
| equalish(a,additive_identity) ),
inference(forward_subsumption_resolution,[],[f676,f28]) ).
fof(f680,plain,
equalish(multiply(b,sF1),multiplicative_identity),
inference(forward_subsumption_resolution,[],[f678,f82]) ).
fof(f681,plain,
equalish(multiply(a,sF0),multiplicative_identity),
inference(forward_subsumption_resolution,[],[f679,f30]) ).
fof(f1927,plain,
! [X0,X1] :
( ~ defined(sF0)
| ~ equalish(multiplicative_identity,X0)
| ~ equalish(X1,sF1)
| ~ equalish(multiply(X0,sF0),X1) ),
inference(resolution,[],[f25,f583]) ).
fof(f2042,plain,
! [X0,X1] :
( ~ equalish(multiplicative_identity,X0)
| ~ equalish(X1,sF1)
| ~ equalish(multiply(X0,sF0),X1) ),
inference(forward_subsumption_resolution,[],[f1927,f69]) ).
fof(f4382,plain,
! [X0,X1] :
( ~ equalish(X1,multiplicative_identity)
| ~ equalish(multiply(X1,sF0),X0)
| ~ equalish(X0,sF1) ),
inference(resolution,[],[f2042,f22]) ).
fof(f5215,plain,
! [X0] :
( ~ equalish(multiply(multiply(b,sF1),sF0),X0)
| ~ equalish(X0,sF1) ),
inference(resolution,[],[f4382,f680]) ).
fof(f5241,plain,
( ~ equalish(multiply(sF0,multiply(b,sF1)),sF1)
| ~ defined(multiply(b,sF1))
| ~ defined(sF0) ),
inference(resolution,[],[f5215,f8]) ).
fof(f5248,plain,
( ~ defined(multiply(b,sF1))
| ~ equalish(multiply(sF0,multiply(b,sF1)),sF1) ),
inference(forward_subsumption_resolution,[],[f5241,f69]) ).
fof(f6401,plain,
( ~ equalish(multiply(sF0,multiply(b,sF1)),sF1)
| ~ defined(b)
| ~ defined(sF1) ),
inference(resolution,[],[f5248,f13]) ).
fof(f6402,plain,
( ~ defined(sF1)
| ~ equalish(multiply(sF0,multiply(b,sF1)),sF1) ),
inference(forward_subsumption_resolution,[],[f6401,f29]) ).
fof(f6403,plain,
( ~ equalish(multiply(sF0,multiply(b,sF1)),sF1)
| equalish(b,additive_identity) ),
inference(resolution,[],[f6402,f67]) ).
fof(f6404,plain,
~ equalish(multiply(sF0,multiply(b,sF1)),sF1),
inference(forward_subsumption_resolution,[],[f6403,f82]) ).
fof(f6405,plain,
! [X0] :
( ~ equalish(multiply(sF0,multiply(b,sF1)),X0)
| ~ equalish(X0,sF1) ),
inference(resolution,[],[f6404,f23]) ).
fof(f6409,plain,
( ~ equalish(multiply(multiply(sF0,b),sF1),sF1)
| ~ defined(sF0)
| ~ defined(b)
| ~ defined(sF1) ),
inference(resolution,[],[f6405,f5]) ).
fof(f6415,plain,
( ~ equalish(multiply(multiply(sF0,b),sF1),sF1)
| ~ defined(b)
| ~ defined(sF1) ),
inference(forward_subsumption_resolution,[],[f6409,f69]) ).
fof(f6416,plain,
( ~ defined(sF1)
| ~ equalish(multiply(multiply(sF0,b),sF1),sF1) ),
inference(forward_subsumption_resolution,[],[f6415,f29]) ).
fof(f6417,plain,
( ~ equalish(multiply(multiply(sF0,b),sF1),sF1)
| equalish(b,additive_identity) ),
inference(resolution,[],[f6416,f67]) ).
fof(f6418,plain,
~ equalish(multiply(multiply(sF0,b),sF1),sF1),
inference(forward_subsumption_resolution,[],[f6417,f82]) ).
fof(f6419,plain,
! [X0] :
( ~ equalish(multiply(multiply(sF0,b),sF1),X0)
| ~ equalish(X0,sF1) ),
inference(resolution,[],[f6418,f23]) ).
fof(f6443,plain,
! [X0] :
( ~ equalish(X0,sF1)
| ~ equalish(X0,multiply(multiply(sF0,b),sF1)) ),
inference(resolution,[],[f6419,f22]) ).
fof(f6450,plain,
~ equalish(multiply(multiplicative_identity,sF1),multiply(multiply(sF0,b),sF1)),
inference(resolution,[],[f6443,f87]) ).
fof(f6454,plain,
( ~ defined(sF1)
| ~ equalish(multiplicative_identity,multiply(sF0,b)) ),
inference(resolution,[],[f6450,f25]) ).
fof(f6457,plain,
( ~ equalish(multiplicative_identity,multiply(sF0,b))
| equalish(b,additive_identity) ),
inference(resolution,[],[f6454,f67]) ).
fof(f6458,plain,
~ equalish(multiplicative_identity,multiply(sF0,b)),
inference(forward_subsumption_resolution,[],[f6457,f82]) ).
fof(f6460,plain,
~ equalish(multiply(sF0,b),multiplicative_identity),
inference(resolution,[],[f6458,f22]) ).
fof(f6461,plain,
! [X0] :
( ~ equalish(multiply(sF0,b),X0)
| ~ equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f6460,f23]) ).
fof(f6466,plain,
( ~ equalish(multiply(b,sF0),multiplicative_identity)
| ~ defined(sF0)
| ~ defined(b) ),
inference(resolution,[],[f6461,f8]) ).
fof(f6472,plain,
( ~ equalish(multiply(b,sF0),multiplicative_identity)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f6466,f69]) ).
fof(f6473,plain,
~ equalish(multiply(b,sF0),multiplicative_identity),
inference(forward_subsumption_resolution,[],[f6472,f29]) ).
fof(f6474,plain,
! [X0] :
( ~ equalish(multiply(b,sF0),X0)
| ~ equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f6473,f23]) ).
fof(f6508,plain,
! [X0] :
( ~ equalish(X0,multiplicative_identity)
| ~ equalish(X0,multiply(b,sF0)) ),
inference(resolution,[],[f6474,f22]) ).
fof(f6520,plain,
~ equalish(multiply(a,sF0),multiply(b,sF0)),
inference(resolution,[],[f6508,f681]) ).
fof(f6527,plain,
( ~ defined(sF0)
| ~ equalish(a,b) ),
inference(resolution,[],[f6520,f25]) ).
fof(f6530,plain,
~ equalish(a,b),
inference(forward_subsumption_resolution,[],[f6527,f69]) ).
fof(f6531,plain,
$false,
inference(forward_subsumption_resolution,[],[f6530,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD026-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n001.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 00:34:19 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 11.58/2.37 % (906436)Input is clausal, will run a generic CNF schedule.
% 11.58/2.37 % (906442)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=634261135:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.58/2.37 % (906441)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=3192089023:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.58/2.37 % (906444)lrs+10_1_sil=8000:sp=occurrence:random_seed=4043972754:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.58/2.37 % (906447)dis-21_1_sil=8000:lcm=predicate:random_seed=176961758: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)
% 11.58/2.37 % (906443)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=552905365:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.58/2.37 % (906446)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3101380176:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.58/2.37 % (906445)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=987328008:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.58/2.37 % (906444)Instruction limit reached!
% 11.58/2.37 % (906444)------------------------------
% 11.58/2.37 % (906444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.37 % (906444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.37 % (906444)CaDiCaL version: 2.1.3
% 11.58/2.37 % (906444)Termination reason: Instruction limit
% 11.58/2.37 % (906444)Termination phase: Saturation
% 11.58/2.37 % (906444)Time elapsed: 0.067 s
% 11.58/2.37 % (906444)Peak memory usage: 89 MB
% 11.58/2.37 % (906444)Instructions burned: 109 (million)
% 11.58/2.37 % (906445)Instruction limit reached!
% 11.58/2.37 % (906445)------------------------------
% 11.58/2.37 % (906445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.37 % (906445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.37 % (906445)CaDiCaL version: 2.1.3
% 11.58/2.37 % (906445)Termination reason: Instruction limit
% 11.58/2.37 % (906445)Termination phase: Saturation
% 11.58/2.37 % (906445)Time elapsed: 0.069 s
% 11.58/2.37 % (906445)Peak memory usage: 88 MB
% 11.58/2.37 % (906445)Instructions burned: 115 (million)
% 11.58/2.37 % (906447)Instruction limit reached!
% 11.58/2.37 % (906447)------------------------------
% 11.58/2.37 % (906447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.37 % (906447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.37 % (906447)CaDiCaL version: 2.1.3
% 11.58/2.37 % (906447)Termination reason: Instruction limit
% 11.58/2.37 % (906447)Termination phase: Saturation
% 11.58/2.37 % (906447)Time elapsed: 0.073 s
% 11.58/2.37 % (906447)Peak memory usage: 89 MB
% 11.58/2.37 % (906447)Instructions burned: 117 (million)
% 11.58/2.37 % (906446)Instruction limit reached!
% 11.58/2.37 % (906446)------------------------------
% 11.58/2.37 % (906446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.37 % (906446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.37 % (906446)CaDiCaL version: 2.1.3
% 11.58/2.37 % (906446)Termination reason: Instruction limit
% 11.58/2.37 % (906446)Termination phase: Saturation
% 11.58/2.37 % (906446)Time elapsed: 0.118 s
% 11.58/2.37 % (906446)Peak memory usage: 89 MB
% 11.58/2.37 % (906446)Instructions burned: 180 (million)
% 11.58/2.37 % (906455)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=364502733:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.58/2.37 % (906456)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3852150365: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)
% 11.58/2.37 % (906457)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=379419547:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.58/2.37 % (906458)lrs+10_64_to=lpo:sil=8000:random_seed=2038045162:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.58/2.37 % (906455)Instruction limit reached!
% 11.58/2.37 % (906455)------------------------------
% 11.58/2.37 % (906455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/3.05 % (906455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/3.05 % (906455)CaDiCaL version: 2.1.3
% 5.95/3.05 % (906455)Termination reason: Instruction limit
% 5.95/3.05 % (906455)Termination phase: Saturation
% 5.95/3.05 % (906455)Time elapsed: 0.079 s
% 5.95/3.05 % (906455)Peak memory usage: 89 MB
% 5.95/3.05 % (906455)Instructions burned: 143 (million)
% 5.95/3.05 % (906456)Instruction limit reached!
% 5.95/3.05 % (906456)------------------------------
% 5.95/3.05 % (906456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/3.05 % (906456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/3.05 % (906456)CaDiCaL version: 2.1.3
% 5.95/3.05 % (906456)Termination reason: Instruction limit
% 5.95/3.05 % (906456)Termination phase: Saturation
% 5.95/3.05 % (906456)Time elapsed: 0.095 s
% 5.95/3.05 % (906456)Peak memory usage: 94 MB
% 5.95/3.05 % (906456)Instructions burned: 189 (million)
% 5.95/3.05 % (906458)Instruction limit reached!
% 5.95/3.05 % (906458)------------------------------
% 5.95/3.05 % (906458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/3.05 % (906458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/3.05 % (906458)CaDiCaL version: 2.1.3
% 5.95/3.05 % (906458)Termination reason: Instruction limit
% 5.95/3.05 % (906458)Termination phase: Saturation
% 5.95/3.05 % (906458)Time elapsed: 0.071 s
% 5.95/3.05 % (906458)Peak memory usage: 89 MB
% 5.95/3.05 % (906458)Instructions burned: 126 (million)
% 5.95/3.05 % (906457)Instruction limit reached!
% 5.95/3.05 % (906457)------------------------------
% 5.95/3.05 % (906457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/3.05 % (906457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/3.05 % (906457)CaDiCaL version: 2.1.3
% 5.95/3.05 % (906457)Termination reason: Instruction limit
% 5.95/3.05 % (906457)Termination phase: Saturation
% 5.95/3.05 % (906457)Time elapsed: 0.138 s
% 5.95/3.05 % (906457)Peak memory usage: 89 MB
% 5.95/3.05 % (906457)Instructions burned: 220 (million)
% 5.95/3.05 % (906463)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2324062746:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.95/3.05 % (906464)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3327654223:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.95/3.05 % (906465)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2637384987:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.95/3.05 % (906466)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3887231787:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 5.95/3.05 % (906466)Instruction limit reached!
% 5.95/3.05 % (906466)------------------------------
% 5.95/3.05 % (906466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/3.05 % (906466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/3.05 % (906466)CaDiCaL version: 2.1.3
% 5.95/3.05 % (906466)Termination reason: Instruction limit
% 5.95/3.05 % (906466)Termination phase: Saturation
% 5.95/3.05 % (906466)Time elapsed: 0.054 s
% 5.95/3.05 % (906466)Peak memory usage: 89 MB
% 5.95/3.05 % (906466)Instructions burned: 106 (million)
% 5.95/3.05 % (906464)Instruction limit reached!
% 5.95/3.05 % (906464)------------------------------
% 5.95/3.05 % (906464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/3.05 % (906464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/3.05 % (906464)CaDiCaL version: 2.1.3
% 5.95/3.05 % (906464)Termination reason: Instruction limit
% 5.95/3.05 % (906464)Termination phase: Saturation
% 5.95/3.05 % (906464)Time elapsed: 0.104 s
% 5.95/3.05 % (906464)Peak memory usage: 90 MB
% 5.95/3.05 % (906464)Instructions burned: 158 (million)
% 5.95/3.05 % (906463)Instruction limit reached!
% 5.95/3.05 % (906463)------------------------------
% 5.95/3.05 % (906463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/3.05 % (906463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/3.05 % (906463)CaDiCaL version: 2.1.3
% 5.95/3.05 % (906463)Termination reason: Instruction limit
% 5.95/3.05 % (906463)Termination phase: Saturation
% 5.95/3.05 % (906463)Time elapsed: 0.117 s
% 5.95/3.05 % (906463)Peak memory usage: 89 MB
% 5.95/3.05 % (906463)Instructions burned: 195 (million)
% 5.95/3.05 % (906472)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3651504717:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 5.95/3.05 % (906471)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3835765927:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 5.95/3.05 % (906473)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1655557427:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 5.95/3.05 % (906471)Instruction limit reached!
% 5.95/3.05 % (906471)------------------------------
% 5.95/3.05 % (906471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/3.05 % (906471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/3.05 % (906471)CaDiCaL version: 2.1.3
% 5.95/3.05 % (906471)Termination reason: Instruction limit
% 5.95/3.05 % (906471)Termination phase: Saturation
% 5.95/3.05 % (906471)Time elapsed: 0.062 s
% 5.95/3.05 % (906471)Peak memory usage: 88 MB
% 5.95/3.05 % (906471)Instructions burned: 108 (million)
% 5.95/3.05 % (906472)Instruction limit reached!
% 5.95/3.05 % (906472)------------------------------
% 5.95/3.05 % (906472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/3.05 % (906472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/3.05 % (906472)CaDiCaL version: 2.1.3
% 5.95/3.05 % (906472)Termination reason: Instruction limit
% 5.95/3.05 % (906472)Termination phase: Saturation
% 5.95/3.05 % (906472)Time elapsed: 0.164 s
% 5.95/3.05 % (906472)Peak memory usage: 89 MB
% 5.95/3.05 % (906472)Instructions burned: 243 (million)
% 5.95/3.05 % (906477)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=258218182:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 5.95/3.05 % (906477)Instruction limit reached!
% 5.95/3.05 % (906477)------------------------------
% 5.95/3.05 % (906477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/3.05 % (906477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/3.05 % (906477)CaDiCaL version: 2.1.3
% 5.95/3.05 % (906477)Termination reason: Instruction limit
% 5.95/3.05 % (906477)Termination phase: Saturation
% 5.95/3.05 % (906477)Time elapsed: 0.082 s
% 5.95/3.05 % (906477)Peak memory usage: 89 MB
% 5.95/3.05 % (906477)Instructions burned: 136 (million)
% 5.95/3.05 % (906478)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=313500951:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 5.95/3.05 % (906480)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=652867158:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 5.95/3.05 % (906478)Instruction limit reached!
% 5.95/3.05 % (906478)------------------------------
% 5.95/3.05 % (906478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/3.05 % (906478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/3.05 % (906478)CaDiCaL version: 2.1.3
% 5.95/3.05 % (906478)Termination reason: Instruction limit
% 5.95/3.05 % (906478)Termination phase: Saturation
% 5.95/3.05 % (906478)Time elapsed: 0.246 s
% 5.95/3.05 % (906478)Peak memory usage: 105 MB
% 5.95/3.05 % (906478)Instructions burned: 500 (million)
% 5.95/3.05 % (906480)Instruction limit reached!
% 5.95/3.05 % (906480)------------------------------
% 5.95/3.05 % (906480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/3.05 % (906480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/3.05 % (906480)CaDiCaL version: 2.1.3
% 5.95/3.05 % (906480)Termination reason: Instruction limit
% 5.95/3.05 % (906480)Termination phase: Saturation
% 5.95/3.05 % (906480)Time elapsed: 0.103 s
% 5.95/3.05 % (906480)Peak memory usage: 91 MB
% 5.95/3.05 % (906480)Instructions burned: 191 (million)
% 5.95/3.05 % (906483)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3683720498:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 5.95/3.05 % (906484)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3895122396:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 5.95/3.05 % (906484)Instruction limit reached!
% 5.95/3.05 % (906484)------------------------------
% 5.95/3.05 % (906484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/3.05 % (906484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/3.05 % (906484)CaDiCaL version: 2.1.3
% 5.95/3.05 % (906484)Termination reason: Instruction limit
% 5.95/3.05 % (906484)Termination phase: Saturation
% 5.95/3.05 % (906484)Time elapsed: 0.066 s
% 5.95/3.05 % (906484)Peak memory usage: 87 MB
% 5.95/3.05 % (906484)Instructions burned: 156 (million)
% 5.95/3.05 % (906483)Instruction limit reached!
% 5.95/3.05 % (906483)------------------------------
% 5.95/3.05 % (906483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/3.05 % (906483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/3.05 % (906483)CaDiCaL version: 2.1.3
% 5.95/3.05 % (906483)Termination reason: Instruction limit
% 5.95/3.05 % (906483)Termination phase: Saturation
% 5.95/3.05 % (906483)Time elapsed: 0.165 s
% 5.95/3.05 % (906483)Peak memory usage: 89 MB
% 5.95/3.05 % (906483)Instructions burned: 265 (million)
% 5.95/3.05 % (906487)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1079459293:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 5.95/3.05 % (906488)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3559360063:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 5.95/3.05 % (906488)First to succeed.
% 5.95/3.05 % (906488)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-906436"
% 5.95/3.05 % (906488)Refutation found. Thanks to Tanya!
% 5.95/3.05 % SZS status Unsatisfiable for theBenchmark
% 5.95/3.05 % SZS output start Proof for theBenchmark
% See solution above
% 17.24/3.15 % (906488)------------------------------
% 17.24/3.15 % (906488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.24/3.15 % (906488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.24/3.15 % (906488)CaDiCaL version: 2.1.3
% 17.24/3.15 % (906488)Termination reason: Refutation
% 17.24/3.15 % (906488)Time elapsed: 0.146 s
% 17.24/3.15 % (906488)Peak memory usage: 89 MB
% 17.24/3.15 % (906488)Instructions burned: 227 (million)
% 17.24/3.15 % (906488)------------------------------
% 17.24/3.15 % (906488)------------------------------
% 17.24/3.15 % (906436)Success in time 2.36 s
% 17.24/3.15 % Vampire exiting
%------------------------------------------------------------------------------