%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD027-1 : 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 : n007.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 14.21s 2.49s
% Output : Refutation 15.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 17
% Syntax : Number of formulae : 80 ( 29 unt; 2 def)
% Number of atoms : 159 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 196 ( 117 ~; 79 |; 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 : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_not_equal_to_additive_identity_4) ).
fof(f32,negated_conjecture,
equalish(multiplicative_inverse(a),multiplicative_inverse(b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverses_equal) ).
fof(f33,negated_conjecture,
~ equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_b_6) ).
fof(f34,definition,
sF0 = multiplicative_inverse(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f35,plain,
multiplicative_inverse(a) = sF0,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF1 = multiplicative_inverse(b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f37,plain,
multiplicative_inverse(b) = sF1,
inference(reorient_equations,[],[f36]) ).
fof(f38,plain,
equalish(sF0,sF1),
inference(definition_folding,[],[f32,f37,f35]) ).
fof(f57,plain,
equalish(multiply(multiplicative_identity,a),a),
inference(resolution,[],[f6,f28]) ).
fof(f58,plain,
equalish(multiply(multiplicative_identity,b),b),
inference(resolution,[],[f6,f29]) ).
fof(f68,plain,
( defined(sF0)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(superposition,[],[f15,f35]) ).
fof(f69,plain,
( defined(sF1)
| ~ defined(b)
| equalish(b,additive_identity) ),
inference(superposition,[],[f15,f37]) ).
fof(f70,plain,
( defined(sF1)
| equalish(b,additive_identity) ),
inference(forward_subsumption_resolution,[],[f69,f29]) ).
fof(f71,plain,
( defined(sF0)
| equalish(a,additive_identity) ),
inference(forward_subsumption_resolution,[],[f68,f28]) ).
fof(f72,plain,
defined(sF1),
inference(forward_subsumption_resolution,[],[f70,f31]) ).
fof(f73,plain,
defined(sF0),
inference(forward_subsumption_resolution,[],[f71,f30]) ).
fof(f86,plain,
! [X0] :
( ~ equalish(a,X0)
| ~ equalish(X0,b) ),
inference(resolution,[],[f23,f33]) ).
fof(f96,plain,
! [X0] :
( ~ equalish(X0,b)
| ~ equalish(X0,a) ),
inference(resolution,[],[f86,f22]) ).
fof(f135,plain,
~ equalish(multiply(multiplicative_identity,b),a),
inference(resolution,[],[f96,f58]) ).
fof(f139,plain,
! [X0] :
( ~ equalish(multiply(multiplicative_identity,b),X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f135,f23]) ).
fof(f161,plain,
! [X0,X1] :
( ~ equalish(multiply(multiplicative_identity,b),X1)
| ~ equalish(X0,a)
| ~ equalish(X1,X0) ),
inference(resolution,[],[f139,f23]) ).
fof(f648,plain,
( equalish(multiply(a,sF0),multiplicative_identity)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(superposition,[],[f7,f35]) ).
fof(f649,plain,
( equalish(multiply(b,sF1),multiplicative_identity)
| ~ defined(b)
| equalish(b,additive_identity) ),
inference(superposition,[],[f7,f37]) ).
fof(f650,plain,
( equalish(multiply(b,sF1),multiplicative_identity)
| equalish(b,additive_identity) ),
inference(forward_subsumption_resolution,[],[f649,f29]) ).
fof(f651,plain,
( equalish(multiply(a,sF0),multiplicative_identity)
| equalish(a,additive_identity) ),
inference(forward_subsumption_resolution,[],[f648,f28]) ).
fof(f652,plain,
equalish(multiply(b,sF1),multiplicative_identity),
inference(forward_subsumption_resolution,[],[f650,f31]) ).
fof(f653,plain,
equalish(multiply(a,sF0),multiplicative_identity),
inference(forward_subsumption_resolution,[],[f651,f30]) ).
fof(f1892,plain,
! [X0,X1] :
( ~ defined(b)
| ~ equalish(multiplicative_identity,X0)
| ~ equalish(X1,a)
| ~ equalish(multiply(X0,b),X1) ),
inference(resolution,[],[f25,f161]) ).
fof(f1959,plain,
! [X0,X1] :
( ~ equalish(multiplicative_identity,X0)
| ~ equalish(X1,a)
| ~ equalish(multiply(X0,b),X1) ),
inference(forward_subsumption_resolution,[],[f1892,f29]) ).
fof(f2557,plain,
! [X0,X1] :
( ~ equalish(X1,multiplicative_identity)
| ~ equalish(multiply(X1,b),X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f1959,f22]) ).
fof(f2817,plain,
! [X0] :
( ~ equalish(multiply(multiply(a,sF0),b),X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f2557,f653]) ).
fof(f2832,plain,
( ~ equalish(multiply(b,multiply(a,sF0)),a)
| ~ defined(multiply(a,sF0))
| ~ defined(b) ),
inference(resolution,[],[f2817,f8]) ).
fof(f2837,plain,
( ~ defined(multiply(a,sF0))
| ~ equalish(multiply(b,multiply(a,sF0)),a) ),
inference(forward_subsumption_resolution,[],[f2832,f29]) ).
fof(f3411,plain,
( ~ equalish(multiply(b,multiply(a,sF0)),a)
| ~ defined(a)
| ~ defined(sF0) ),
inference(resolution,[],[f2837,f13]) ).
fof(f3412,plain,
( ~ equalish(multiply(b,multiply(a,sF0)),a)
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f3411,f28]) ).
fof(f3413,plain,
~ equalish(multiply(b,multiply(a,sF0)),a),
inference(forward_subsumption_resolution,[],[f3412,f73]) ).
fof(f3414,plain,
! [X0] :
( ~ equalish(multiply(b,multiply(a,sF0)),X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f3413,f23]) ).
fof(f3418,plain,
( ~ equalish(multiply(multiply(b,a),sF0),a)
| ~ defined(b)
| ~ defined(a)
| ~ defined(sF0) ),
inference(resolution,[],[f3414,f5]) ).
fof(f3423,plain,
( ~ equalish(multiply(multiply(b,a),sF0),a)
| ~ defined(a)
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f3418,f29]) ).
fof(f3424,plain,
( ~ equalish(multiply(multiply(b,a),sF0),a)
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f3423,f28]) ).
fof(f3425,plain,
~ equalish(multiply(multiply(b,a),sF0),a),
inference(forward_subsumption_resolution,[],[f3424,f73]) ).
fof(f3426,plain,
! [X0] :
( ~ equalish(multiply(multiply(b,a),sF0),X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f3425,f23]) ).
fof(f3446,plain,
( ~ equalish(multiply(sF0,multiply(b,a)),a)
| ~ defined(multiply(b,a))
| ~ defined(sF0) ),
inference(resolution,[],[f3426,f8]) ).
fof(f3451,plain,
( ~ defined(multiply(b,a))
| ~ equalish(multiply(sF0,multiply(b,a)),a) ),
inference(forward_subsumption_resolution,[],[f3446,f73]) ).
fof(f5020,plain,
( ~ equalish(multiply(sF0,multiply(b,a)),a)
| ~ defined(b)
| ~ defined(a) ),
inference(resolution,[],[f3451,f13]) ).
fof(f5021,plain,
( ~ equalish(multiply(sF0,multiply(b,a)),a)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f5020,f29]) ).
fof(f5022,plain,
~ equalish(multiply(sF0,multiply(b,a)),a),
inference(forward_subsumption_resolution,[],[f5021,f28]) ).
fof(f5023,plain,
! [X0] :
( ~ equalish(multiply(sF0,multiply(b,a)),X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f5022,f23]) ).
fof(f5027,plain,
( ~ equalish(multiply(multiply(sF0,b),a),a)
| ~ defined(sF0)
| ~ defined(b)
| ~ defined(a) ),
inference(resolution,[],[f5023,f5]) ).
fof(f5033,plain,
( ~ equalish(multiply(multiply(sF0,b),a),a)
| ~ defined(b)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f5027,f73]) ).
fof(f5034,plain,
( ~ equalish(multiply(multiply(sF0,b),a),a)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f5033,f29]) ).
fof(f5035,plain,
~ equalish(multiply(multiply(sF0,b),a),a),
inference(forward_subsumption_resolution,[],[f5034,f28]) ).
fof(f5036,plain,
! [X0] :
( ~ equalish(multiply(multiply(sF0,b),a),X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f5035,f23]) ).
fof(f5062,plain,
! [X0] :
( ~ equalish(X0,a)
| ~ equalish(X0,multiply(multiply(sF0,b),a)) ),
inference(resolution,[],[f5036,f22]) ).
fof(f5071,plain,
~ equalish(multiply(multiplicative_identity,a),multiply(multiply(sF0,b),a)),
inference(resolution,[],[f5062,f57]) ).
fof(f5075,plain,
( ~ defined(a)
| ~ equalish(multiplicative_identity,multiply(sF0,b)) ),
inference(resolution,[],[f5071,f25]) ).
fof(f5078,plain,
~ equalish(multiplicative_identity,multiply(sF0,b)),
inference(forward_subsumption_resolution,[],[f5075,f28]) ).
fof(f5079,plain,
! [X0] :
( ~ equalish(multiplicative_identity,X0)
| ~ equalish(X0,multiply(sF0,b)) ),
inference(resolution,[],[f5078,f23]) ).
fof(f5085,plain,
! [X0] :
( ~ equalish(X0,multiplicative_identity)
| ~ equalish(X0,multiply(sF0,b)) ),
inference(resolution,[],[f5079,f22]) ).
fof(f5104,plain,
~ equalish(multiply(b,sF1),multiply(sF0,b)),
inference(resolution,[],[f5085,f652]) ).
fof(f5112,plain,
! [X0] :
( ~ equalish(multiply(b,sF1),X0)
| ~ equalish(X0,multiply(sF0,b)) ),
inference(resolution,[],[f5104,f23]) ).
fof(f5212,plain,
( ~ equalish(multiply(sF1,b),multiply(sF0,b))
| ~ defined(b)
| ~ defined(sF1) ),
inference(resolution,[],[f5112,f8]) ).
fof(f5218,plain,
( ~ equalish(multiply(sF1,b),multiply(sF0,b))
| ~ defined(sF1) ),
inference(forward_subsumption_resolution,[],[f5212,f29]) ).
fof(f5219,plain,
~ equalish(multiply(sF1,b),multiply(sF0,b)),
inference(forward_subsumption_resolution,[],[f5218,f72]) ).
fof(f5220,plain,
( ~ defined(b)
| ~ equalish(sF1,sF0) ),
inference(resolution,[],[f5219,f25]) ).
fof(f5223,plain,
~ equalish(sF1,sF0),
inference(forward_subsumption_resolution,[],[f5220,f29]) ).
fof(f5225,plain,
~ equalish(sF0,sF1),
inference(resolution,[],[f5223,f22]) ).
fof(f5226,plain,
$false,
inference(forward_subsumption_resolution,[],[f5225,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD027-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 00:26:41 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 9.07/1.81 % (3018314)Input is clausal, will run a generic CNF schedule.
% 9.07/1.81 % (3018324)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1783318485:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.07/1.81 % (3018323)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2492512251:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.07/1.81 % (3018321)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=564377264:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.07/1.81 % (3018322)lrs+10_1_sil=8000:sp=occurrence:random_seed=4283907516:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.07/1.81 % (3018320)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2269125675:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.07/1.81 % (3018325)dis-21_1_sil=8000:lcm=predicate:random_seed=3804934353: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)
% 9.07/1.81 % (3018319)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=4283791258:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.07/1.81 % (3018324)Instruction limit reached!
% 9.07/1.81 % (3018324)------------------------------
% 9.07/1.81 % (3018324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/1.81 % (3018324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/1.81 % (3018324)CaDiCaL version: 2.1.3
% 9.07/1.81 % (3018324)Termination reason: Instruction limit
% 9.07/1.81 % (3018324)Termination phase: Saturation
% 9.07/1.81 % (3018324)Time elapsed: 0.064 s
% 9.07/1.81 % (3018324)Peak memory usage: 90 MB
% 9.07/1.81 % (3018324)Instructions burned: 183 (million)
% 9.07/1.81 % (3018322)Instruction limit reached!
% 9.07/1.81 % (3018322)------------------------------
% 9.07/1.81 % (3018322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/1.81 % (3018322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/1.81 % (3018322)CaDiCaL version: 2.1.3
% 9.07/1.81 % (3018322)Termination reason: Instruction limit
% 9.07/1.81 % (3018322)Termination phase: Saturation
% 9.07/1.81 % (3018322)Time elapsed: 0.067 s
% 9.07/1.81 % (3018322)Peak memory usage: 89 MB
% 9.07/1.81 % (3018322)Instructions burned: 109 (million)
% 9.07/1.81 % (3018323)Instruction limit reached!
% 9.07/1.81 % (3018323)------------------------------
% 9.07/1.81 % (3018323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/1.81 % (3018323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/1.81 % (3018323)CaDiCaL version: 2.1.3
% 9.07/1.81 % (3018323)Termination reason: Instruction limit
% 9.07/1.81 % (3018323)Termination phase: Saturation
% 9.07/1.81 % (3018323)Time elapsed: 0.069 s
% 9.07/1.81 % (3018323)Peak memory usage: 88 MB
% 9.07/1.81 % (3018323)Instructions burned: 114 (million)
% 9.07/1.81 % (3018325)Instruction limit reached!
% 9.07/1.81 % (3018325)------------------------------
% 9.07/1.81 % (3018325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/1.81 % (3018325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/1.81 % (3018325)CaDiCaL version: 2.1.3
% 9.07/1.81 % (3018325)Termination reason: Instruction limit
% 9.07/1.81 % (3018325)Termination phase: Saturation
% 9.07/1.81 % (3018325)Time elapsed: 0.074 s
% 9.07/1.81 % (3018325)Peak memory usage: 89 MB
% 9.07/1.81 % (3018325)Instructions burned: 117 (million)
% 9.07/1.81 % (3018333)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=1259369019:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.07/1.81 % (3018333)Instruction limit reached!
% 9.07/1.81 % (3018333)------------------------------
% 9.07/1.81 % (3018333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/1.81 % (3018333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/1.81 % (3018333)CaDiCaL version: 2.1.3
% 9.07/1.81 % (3018333)Termination reason: Instruction limit
% 9.07/1.81 % (3018333)Termination phase: Saturation
% 9.07/1.81 % (3018333)Time elapsed: 0.044 s
% 9.07/1.81 % (3018333)Peak memory usage: 89 MB
% 9.07/1.81 % (3018333)Instructions burned: 145 (million)
% 9.07/1.81 % (3018335)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3896566041:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 14.21/2.49 % (3018334)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2650613958: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)
% 14.21/2.49 % (3018336)lrs+10_64_to=lpo:sil=8000:random_seed=1705711758:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 14.21/2.49 % (3018334)Instruction limit reached!
% 14.21/2.49 % (3018334)------------------------------
% 14.21/2.49 % (3018334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/2.49 % (3018334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/2.49 % (3018334)CaDiCaL version: 2.1.3
% 14.21/2.49 % (3018334)Termination reason: Instruction limit
% 14.21/2.49 % (3018334)Termination phase: Saturation
% 14.21/2.49 % (3018334)Time elapsed: 0.097 s
% 14.21/2.49 % (3018334)Peak memory usage: 94 MB
% 14.21/2.49 % (3018334)Instructions burned: 191 (million)
% 14.21/2.49 % (3018336)Instruction limit reached!
% 14.21/2.49 % (3018336)------------------------------
% 14.21/2.49 % (3018336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/2.49 % (3018336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/2.49 % (3018336)CaDiCaL version: 2.1.3
% 14.21/2.49 % (3018336)Termination reason: Instruction limit
% 14.21/2.49 % (3018336)Termination phase: Saturation
% 14.21/2.49 % (3018336)Time elapsed: 0.077 s
% 14.21/2.49 % (3018336)Peak memory usage: 88 MB
% 14.21/2.49 % (3018336)Instructions burned: 128 (million)
% 14.21/2.49 % (3018338)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2000883031:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 14.21/2.49 % (3018335)Instruction limit reached!
% 14.21/2.49 % (3018335)------------------------------
% 14.21/2.49 % (3018335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/2.49 % (3018335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/2.49 % (3018335)CaDiCaL version: 2.1.3
% 14.21/2.49 % (3018335)Termination reason: Instruction limit
% 14.21/2.49 % (3018335)Termination phase: Saturation
% 14.21/2.49 % (3018335)Time elapsed: 0.135 s
% 14.21/2.49 % (3018335)Peak memory usage: 89 MB
% 14.21/2.49 % (3018335)Instructions burned: 220 (million)
% 14.21/2.49 % (3018338)Instruction limit reached!
% 14.21/2.49 % (3018338)------------------------------
% 14.21/2.49 % (3018338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/2.49 % (3018338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/2.49 % (3018338)CaDiCaL version: 2.1.3
% 14.21/2.49 % (3018338)Termination reason: Instruction limit
% 14.21/2.49 % (3018338)Termination phase: Saturation
% 14.21/2.49 % (3018338)Time elapsed: 0.067 s
% 14.21/2.49 % (3018338)Peak memory usage: 89 MB
% 14.21/2.49 % (3018338)Instructions burned: 196 (million)
% 14.21/2.49 % (3018343)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2417035749:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 14.21/2.49 % (3018342)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3149133145:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 14.21/2.49 % (3018346)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1813662349:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 14.21/2.49 % (3018345)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=106345145:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 14.21/2.49 % (3018346)Instruction limit reached!
% 14.21/2.49 % (3018346)------------------------------
% 14.21/2.49 % (3018346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/2.49 % (3018346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/2.49 % (3018346)CaDiCaL version: 2.1.3
% 14.21/2.49 % (3018346)Termination reason: Instruction limit
% 14.21/2.49 % (3018346)Termination phase: Saturation
% 14.21/2.49 % (3018346)Time elapsed: 0.034 s
% 14.21/2.49 % (3018346)Peak memory usage: 88 MB
% 14.21/2.49 % (3018346)Instructions burned: 110 (million)
% 14.21/2.49 % (3018345)Instruction limit reached!
% 14.21/2.49 % (3018345)------------------------------
% 14.21/2.49 % (3018345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/2.49 % (3018345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/2.49 % (3018345)CaDiCaL version: 2.1.3
% 14.21/2.49 % (3018345)Termination reason: Instruction limit
% 14.21/2.49 % (3018345)Termination phase: Saturation
% 14.21/2.49 % (3018345)Time elapsed: 0.054 s
% 14.21/2.49 % (3018345)Peak memory usage: 89 MB
% 14.21/2.49 % (3018345)Instructions burned: 106 (million)
% 14.21/2.49 % (3018342)Instruction limit reached!
% 14.21/2.49 % (3018342)------------------------------
% 14.21/2.49 % (3018342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/2.49 % (3018342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/2.49 % (3018342)CaDiCaL version: 2.1.3
% 14.21/2.49 % (3018342)Termination reason: Instruction limit
% 14.21/2.49 % (3018342)Termination phase: Saturation
% 14.21/2.49 % (3018342)Time elapsed: 0.106 s
% 14.21/2.49 % (3018342)Peak memory usage: 90 MB
% 14.21/2.49 % (3018342)Instructions burned: 157 (million)
% 14.21/2.49 % (3018351)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=421182735:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 14.21/2.49 % (3018352)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1905996106:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 14.21/2.49 % (3018353)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3656404678:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 14.21/2.49 % (3018351)Instruction limit reached!
% 14.21/2.49 % (3018351)------------------------------
% 14.21/2.49 % (3018351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/2.49 % (3018351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/2.49 % (3018351)CaDiCaL version: 2.1.3
% 14.21/2.49 % (3018351)Termination reason: Instruction limit
% 14.21/2.49 % (3018351)Termination phase: Saturation
% 14.21/2.49 % (3018351)Time elapsed: 0.086 s
% 14.21/2.49 % (3018351)Peak memory usage: 89 MB
% 14.21/2.49 % (3018351)Instructions burned: 245 (million)
% 14.21/2.49 % (3018353)Instruction limit reached!
% 14.21/2.49 % (3018353)------------------------------
% 14.21/2.49 % (3018353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/2.49 % (3018353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/2.49 % (3018353)CaDiCaL version: 2.1.3
% 14.21/2.49 % (3018353)Termination reason: Instruction limit
% 14.21/2.49 % (3018353)Termination phase: Saturation
% 14.21/2.49 % (3018353)Time elapsed: 0.086 s
% 14.21/2.49 % (3018353)Peak memory usage: 89 MB
% 14.21/2.49 % (3018353)Instructions burned: 136 (million)
% 14.21/2.49 % (3018357)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1669732482:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 14.21/2.49 % (3018358)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=380635321:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 14.21/2.49 % (3018357)Instruction limit reached!
% 14.21/2.49 % (3018357)------------------------------
% 14.21/2.49 % (3018357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/2.49 % (3018357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/2.49 % (3018357)CaDiCaL version: 2.1.3
% 14.21/2.49 % (3018357)Termination reason: Instruction limit
% 14.21/2.49 % (3018357)Termination phase: Saturation
% 14.21/2.49 % (3018357)Time elapsed: 0.133 s
% 14.21/2.49 % (3018357)Peak memory usage: 106 MB
% 14.21/2.49 % (3018357)Instructions burned: 499 (million)
% 14.21/2.49 % (3018358)Instruction limit reached!
% 14.21/2.49 % (3018358)------------------------------
% 14.21/2.49 % (3018358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/2.49 % (3018358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/2.49 % (3018358)CaDiCaL version: 2.1.3
% 14.21/2.49 % (3018358)Termination reason: Instruction limit
% 14.21/2.49 % (3018358)Termination phase: Saturation
% 14.21/2.49 % (3018358)Time elapsed: 0.127 s
% 14.21/2.49 % (3018358)Peak memory usage: 90 MB
% 14.21/2.49 % (3018358)Instructions burned: 191 (million)
% 14.21/2.49 % (3018361)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3809286461:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 14.21/2.49 % (3018361)Instruction limit reached!
% 14.21/2.49 % (3018361)------------------------------
% 14.21/2.49 % (3018361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/2.49 % (3018361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/2.49 % (3018361)CaDiCaL version: 2.1.3
% 14.21/2.49 % (3018361)Termination reason: Instruction limit
% 14.21/2.49 % (3018361)Termination phase: Saturation
% 14.21/2.49 % (3018361)Time elapsed: 0.090 s
% 14.21/2.49 % (3018361)Peak memory usage: 91 MB
% 14.21/2.49 % (3018361)Instructions burned: 266 (million)
% 14.21/2.49 % (3018363)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2871930772:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 14.21/2.49 % (3018364)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=301641714:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 14.21/2.49 % (3018363)Instruction limit reached!
% 14.21/2.49 % (3018363)------------------------------
% 14.21/2.49 % (3018363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/2.49 % (3018363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/2.49 % (3018363)CaDiCaL version: 2.1.3
% 14.21/2.49 % (3018363)Termination reason: Instruction limit
% 14.21/2.49 % (3018363)Termination phase: Saturation
% 14.21/2.49 % (3018363)Time elapsed: 0.068 s
% 14.21/2.49 % (3018363)Peak memory usage: 88 MB
% 14.21/2.49 % (3018363)Instructions burned: 158 (million)
% 14.21/2.49 % (3018367)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3431195631:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 14.21/2.49 % (3018367)First to succeed.
% 14.21/2.49 % (3018367)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3018314"
% 14.21/2.49 % (3018367)Refutation found. Thanks to Tanya!
% 14.21/2.49 % SZS status Unsatisfiable for theBenchmark
% 14.21/2.49 % SZS output start Proof for theBenchmark
% See solution above
% 15.02/2.69 % (3018367)------------------------------
% 15.02/2.69 % (3018367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.02/2.69 % (3018367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.02/2.69 % (3018367)CaDiCaL version: 2.1.3
% 15.02/2.69 % (3018367)Termination reason: Refutation
% 15.02/2.69 % (3018367)Time elapsed: 0.115 s
% 15.02/2.69 % (3018367)Peak memory usage: 89 MB
% 15.02/2.69 % (3018367)Instructions burned: 185 (million)
% 15.02/2.69 % (3018367)------------------------------
% 15.02/2.69 % (3018367)------------------------------
% 15.02/2.69 % (3018314)Success in time 2.072 s
% 15.02/2.69 % Vampire exiting
%------------------------------------------------------------------------------