%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD016-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:49:01 AM UTC 2026
% Result : Unsatisfiable 6.53s 1.39s
% Output : Refutation 7.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 15
% Syntax : Number of formulae : 57 ( 10 unt; 0 def)
% Number of atoms : 213 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 313 ( 157 ~; 156 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 122 ( 122 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f10,axiom,
! [X0,X1] :
( defined(add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_addition) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f30,axiom,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
fof(f31,axiom,
defined(v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_is_defined) ).
fof(f32,negated_conjecture,
equalish(add(a,u),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_equals_b_5) ).
fof(f33,negated_conjecture,
equalish(add(a,v),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_equals_b_6) ).
fof(f34,negated_conjecture,
~ equalish(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_equal_to_v_7) ).
fof(f36,plain,
equalish(b,add(a,u)),
inference(resolution,[],[f32,f22]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(X0,add(X1,X2)))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,add(add(X0,X1),X2)) ),
inference(resolution,[],[f1,f23]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(add(X0,X1))
| ~ defined(X2) ),
inference(resolution,[],[f56,f4]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(add(X0,X1)) ),
inference(duplicate_literal_removal,[],[f60]) ).
fof(f64,plain,
! [X2,X0,X1] :
( equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f62,f10]) ).
fof(f106,plain,
! [X0,X1] :
( ~ equalish(X1,add(additive_identity,X0))
| ~ defined(X0)
| equalish(X1,X0) ),
inference(resolution,[],[f2,f23]) ).
fof(f112,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(add(X1,X0),X0)
| ~ defined(X0)
| ~ equalish(X1,additive_identity) ),
inference(resolution,[],[f106,f24]) ).
fof(f118,plain,
! [X0,X1] :
( equalish(add(X1,X0),X0)
| ~ defined(X0)
| ~ equalish(X1,additive_identity) ),
inference(duplicate_literal_removal,[],[f112]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(X1,X0))
| ~ equalish(X1,additive_identity)
| ~ defined(X0)
| equalish(X2,X0) ),
inference(resolution,[],[f118,f23]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X2)
| equalish(add(add(X1,X2),X0),X2)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f124,f64]) ).
fof(f141,plain,
! [X2,X0,X1] :
( equalish(add(add(X1,X2),X0),X2)
| ~ defined(X2)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f135]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(add(X2,X0),X1))
| ~ equalish(add(X1,X2),additive_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,X0) ),
inference(resolution,[],[f141,f23]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(add(add(X2,X0),X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
inference(resolution,[],[f163,f64]) ).
fof(f180,plain,
! [X2,X0,X1] :
( equalish(add(add(X2,X0),X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(add(X0,X1),additive_identity) ),
inference(duplicate_literal_removal,[],[f174]) ).
fof(f188,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(add(X2,X0),X1))
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X0)
| equalish(X3,X2) ),
inference(resolution,[],[f180,f23]) ).
fof(f197,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X2,X0),additive_identity)
| ~ defined(X2)
| equalish(add(X3,X0),X1)
| ~ defined(X0)
| ~ equalish(X3,add(X1,X2)) ),
inference(resolution,[],[f188,f24]) ).
fof(f210,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X2,X0),additive_identity)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(X2)
| equalish(add(X3,X0),X1)
| ~ equalish(X3,add(X1,X2)) ),
inference(duplicate_literal_removal,[],[f197]) ).
fof(f452,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(additive_inverse(X0))
| ~ defined(X0)
| equalish(add(X2,additive_inverse(X0)),X1)
| ~ equalish(X2,add(X1,X0)) ),
inference(resolution,[],[f3,f210]) ).
fof(f458,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(additive_inverse(X0))
| equalish(add(X2,additive_inverse(X0)),X1)
| ~ equalish(X2,add(X1,X0)) ),
inference(duplicate_literal_removal,[],[f452]) ).
fof(f468,plain,
! [X2,X0,X1] :
( equalish(add(X2,additive_inverse(X0)),X1)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,add(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f458,f12]) ).
fof(f472,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(X2,additive_inverse(X1)))
| ~ defined(X1)
| ~ equalish(X2,add(X0,X1))
| ~ defined(X0)
| equalish(X3,X0) ),
inference(resolution,[],[f468,f23]) ).
fof(f473,plain,
! [X2,X0,X1] :
( equalish(X0,add(X2,additive_inverse(X1)))
| ~ defined(X1)
| ~ equalish(X2,add(X0,X1))
| ~ defined(X0) ),
inference(resolution,[],[f468,f22]) ).
fof(f489,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,add(X2,X0))
| ~ defined(X2)
| equalish(add(X3,additive_inverse(X0)),X2)
| ~ defined(additive_inverse(X0))
| ~ equalish(X3,X1) ),
inference(resolution,[],[f472,f24]) ).
fof(f509,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X1,add(X2,X0))
| ~ defined(X0)
| ~ defined(X2)
| equalish(add(X3,additive_inverse(X0)),X2)
| ~ equalish(X3,X1) ),
inference(forward_subsumption_resolution,[],[f489,f12]) ).
fof(f532,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| equalish(add(X2,additive_inverse(X0)),X1)
| ~ equalish(X2,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f509,f4]) ).
fof(f558,plain,
! [X2,X0,X1] :
( equalish(add(X2,additive_inverse(X0)),X1)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,add(X0,X1)) ),
inference(duplicate_literal_removal,[],[f532]) ).
fof(f583,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(X2,additive_inverse(X1)))
| ~ defined(X1)
| ~ equalish(X2,add(X1,X0))
| ~ defined(X0)
| equalish(X3,X0) ),
inference(resolution,[],[f558,f23]) ).
fof(f603,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,add(X0,X2))
| ~ defined(X2)
| equalish(add(X3,additive_inverse(X0)),X2)
| ~ defined(additive_inverse(X0))
| ~ equalish(X3,X1) ),
inference(resolution,[],[f583,f24]) ).
fof(f626,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X1,add(X0,X2))
| ~ defined(X0)
| ~ defined(X2)
| equalish(add(X3,additive_inverse(X0)),X2)
| ~ equalish(X3,X1) ),
inference(forward_subsumption_resolution,[],[f603,f12]) ).
fof(f952,plain,
! [X0] :
( ~ defined(a)
| ~ defined(u)
| equalish(add(X0,additive_inverse(a)),u)
| ~ equalish(X0,b) ),
inference(resolution,[],[f626,f36]) ).
fof(f975,plain,
! [X0] :
( ~ defined(u)
| equalish(add(X0,additive_inverse(a)),u)
| ~ equalish(X0,b) ),
inference(forward_subsumption_resolution,[],[f952,f28]) ).
fof(f988,plain,
! [X0] :
( equalish(add(X0,additive_inverse(a)),u)
| ~ equalish(X0,b) ),
inference(forward_subsumption_resolution,[],[f975,f30]) ).
fof(f992,plain,
! [X0,X1] :
( ~ equalish(X1,add(X0,additive_inverse(a)))
| ~ equalish(X0,b)
| equalish(X1,u) ),
inference(resolution,[],[f988,f23]) ).
fof(f1023,plain,
! [X0,X1] :
( ~ equalish(X0,b)
| equalish(X1,u)
| ~ defined(a)
| ~ equalish(X0,add(X1,a))
| ~ defined(X1) ),
inference(resolution,[],[f992,f473]) ).
fof(f1025,plain,
! [X0,X1] :
( ~ equalish(X0,add(X1,a))
| equalish(X1,u)
| ~ equalish(X0,b)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f1023,f28]) ).
fof(f1126,plain,
! [X0] :
( equalish(X0,u)
| ~ equalish(add(a,X0),b)
| ~ defined(X0)
| ~ defined(a)
| ~ defined(X0) ),
inference(resolution,[],[f1025,f4]) ).
fof(f1140,plain,
! [X0] :
( equalish(X0,u)
| ~ equalish(add(a,X0),b)
| ~ defined(X0)
| ~ defined(a) ),
inference(duplicate_literal_removal,[],[f1126]) ).
fof(f1146,plain,
! [X0] :
( ~ equalish(add(a,X0),b)
| equalish(X0,u)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f1140,f28]) ).
fof(f1161,plain,
( equalish(v,u)
| ~ defined(v) ),
inference(resolution,[],[f1146,f33]) ).
fof(f1168,plain,
equalish(v,u),
inference(forward_subsumption_resolution,[],[f1161,f31]) ).
fof(f1173,plain,
equalish(u,v),
inference(resolution,[],[f1168,f22]) ).
fof(f1174,plain,
$false,
inference(forward_subsumption_resolution,[],[f1173,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : FLD016-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 00:27:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running first-order theorem proving
% 0.09/0.13 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
% 6.53/1.39 % (3948083)Input is clausal, will run a generic CNF schedule.
% 6.53/1.39 % (3948090)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1527915002:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.53/1.39 % (3948091)lrs+10_1_sil=8000:sp=occurrence:random_seed=2076564937:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.53/1.39 % (3948092)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3220892822:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.53/1.39 % (3948093)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2267623678:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.53/1.39 % (3948088)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=3467211501:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.53/1.39 % (3948094)dis-21_1_sil=8000:lcm=predicate:random_seed=1451443264: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)
% 6.53/1.39 % (3948089)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1803087300:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.53/1.39 % (3948091)Instruction limit reached!
% 6.53/1.39 % (3948091)------------------------------
% 6.53/1.39 % (3948091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948091)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948091)Termination reason: Instruction limit
% 6.53/1.39 % (3948091)Termination phase: Saturation
% 6.53/1.39 % (3948091)Time elapsed: 0.034 s
% 6.53/1.39 % (3948091)Peak memory usage: 89 MB
% 6.53/1.39 % (3948091)Instructions burned: 109 (million)
% 6.53/1.39 % (3948092)Instruction limit reached!
% 6.53/1.39 % (3948092)------------------------------
% 6.53/1.39 % (3948092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948092)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948092)Termination reason: Instruction limit
% 6.53/1.39 % (3948092)Termination phase: Saturation
% 6.53/1.39 % (3948092)Time elapsed: 0.036 s
% 6.53/1.39 % (3948092)Peak memory usage: 88 MB
% 6.53/1.39 % (3948092)Instructions burned: 116 (million)
% 6.53/1.39 % (3948094)Instruction limit reached!
% 6.53/1.39 % (3948094)------------------------------
% 6.53/1.39 % (3948094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948094)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948094)Termination reason: Instruction limit
% 6.53/1.39 % (3948094)Termination phase: Saturation
% 6.53/1.39 % (3948094)Time elapsed: 0.041 s
% 6.53/1.39 % (3948094)Peak memory usage: 89 MB
% 6.53/1.39 % (3948094)Instructions burned: 118 (million)
% 6.53/1.39 % (3948093)Instruction limit reached!
% 6.53/1.39 % (3948093)------------------------------
% 6.53/1.39 % (3948093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948093)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948093)Termination reason: Instruction limit
% 6.53/1.39 % (3948093)Termination phase: Saturation
% 6.53/1.39 % (3948093)Time elapsed: 0.062 s
% 6.53/1.39 % (3948093)Peak memory usage: 89 MB
% 6.53/1.39 % (3948093)Instructions burned: 182 (million)
% 6.53/1.39 % (3948102)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=3917059459:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.53/1.39 % (3948104)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=759566914:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 6.53/1.39 % (3948103)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1118233609:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 6.53/1.39 % (3948102)Instruction limit reached!
% 6.53/1.39 % (3948102)------------------------------
% 6.53/1.39 % (3948102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948102)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948102)Termination reason: Instruction limit
% 6.53/1.39 % (3948102)Termination phase: Saturation
% 6.53/1.39 % (3948102)Time elapsed: 0.044 s
% 6.53/1.39 % (3948102)Peak memory usage: 89 MB
% 6.53/1.39 % (3948102)Instructions burned: 143 (million)
% 6.53/1.39 % (3948105)lrs+10_64_to=lpo:sil=8000:random_seed=788586098:i=126:bd=preordered_2998 on theBenchmark for (2998ds/126Mi)
% 6.53/1.39 % (3948103)Instruction limit reached!
% 6.53/1.39 % (3948103)------------------------------
% 6.53/1.39 % (3948103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948103)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948103)Termination reason: Instruction limit
% 6.53/1.39 % (3948103)Termination phase: Saturation
% 6.53/1.39 % (3948103)Time elapsed: 0.051 s
% 6.53/1.39 % (3948103)Peak memory usage: 94 MB
% 6.53/1.39 % (3948103)Instructions burned: 191 (million)
% 6.53/1.39 % (3948104)Instruction limit reached!
% 6.53/1.39 % (3948104)------------------------------
% 6.53/1.39 % (3948104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948104)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948104)Termination reason: Instruction limit
% 6.53/1.39 % (3948104)Termination phase: Saturation
% 6.53/1.39 % (3948104)Time elapsed: 0.075 s
% 6.53/1.39 % (3948104)Peak memory usage: 89 MB
% 6.53/1.39 % (3948104)Instructions burned: 220 (million)
% 6.53/1.39 % (3948105)Instruction limit reached!
% 6.53/1.39 % (3948105)------------------------------
% 6.53/1.39 % (3948105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948105)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948105)Termination reason: Instruction limit
% 6.53/1.39 % (3948105)Termination phase: Saturation
% 6.53/1.39 % (3948105)Time elapsed: 0.044 s
% 6.53/1.39 % (3948105)Peak memory usage: 89 MB
% 6.53/1.39 % (3948105)Instructions burned: 130 (million)
% 6.53/1.39 % (3948110)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1763156816:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.53/1.39 % (3948111)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3188855543:i=157:gtg=all_2996 on theBenchmark for (2996ds/157Mi)
% 6.53/1.39 % (3948112)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=174639128:i=3394:sd=4:ss=included:sgt=64_2996 on theBenchmark for (2996ds/3394Mi)
% 6.53/1.39 % (3948113)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=4189346417:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2996 on theBenchmark for (2996ds/106Mi)
% 6.53/1.39 % (3948110)Instruction limit reached!
% 6.53/1.39 % (3948110)------------------------------
% 6.53/1.39 % (3948110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948110)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948110)Termination reason: Instruction limit
% 6.53/1.39 % (3948110)Termination phase: Saturation
% 6.53/1.39 % (3948110)Time elapsed: 0.070 s
% 6.53/1.39 % (3948110)Peak memory usage: 89 MB
% 6.53/1.39 % (3948110)Instructions burned: 196 (million)
% 6.53/1.39 % (3948111)Instruction limit reached!
% 6.53/1.39 % (3948111)------------------------------
% 6.53/1.39 % (3948111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948111)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948111)Termination reason: Instruction limit
% 6.53/1.39 % (3948111)Termination phase: Saturation
% 6.53/1.39 % (3948111)Time elapsed: 0.062 s
% 6.53/1.39 % (3948111)Peak memory usage: 91 MB
% 6.53/1.39 % (3948111)Instructions burned: 159 (million)
% 6.53/1.39 % (3948113)Instruction limit reached!
% 6.53/1.39 % (3948113)------------------------------
% 6.53/1.39 % (3948113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948113)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948113)Termination reason: Instruction limit
% 6.53/1.39 % (3948113)Termination phase: Saturation
% 6.53/1.39 % (3948113)Time elapsed: 0.030 s
% 6.53/1.39 % (3948113)Peak memory usage: 89 MB
% 6.53/1.39 % (3948113)Instructions burned: 109 (million)
% 6.53/1.39 % (3948118)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2452692115:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.53/1.39 % (3948119)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2132353979:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 6.53/1.39 % (3948120)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2555306167:cond=fast:i=5208:av=off_2994 on theBenchmark for (2994ds/5208Mi)
% 6.53/1.39 % (3948118)Instruction limit reached!
% 6.53/1.39 % (3948118)------------------------------
% 6.53/1.39 % (3948118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948118)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948118)Termination reason: Instruction limit
% 6.53/1.39 % (3948118)Termination phase: Saturation
% 6.53/1.39 % (3948118)Time elapsed: 0.037 s
% 6.53/1.39 % (3948118)Peak memory usage: 89 MB
% 6.53/1.39 % (3948118)Instructions burned: 110 (million)
% 6.53/1.39 % (3948119)Instruction limit reached!
% 6.53/1.39 % (3948119)------------------------------
% 6.53/1.39 % (3948119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948119)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948119)Termination reason: Instruction limit
% 6.53/1.39 % (3948119)Termination phase: Saturation
% 6.53/1.39 % (3948119)Time elapsed: 0.096 s
% 6.53/1.39 % (3948119)Peak memory usage: 90 MB
% 6.53/1.39 % (3948119)Instructions burned: 242 (million)
% 6.53/1.39 % (3948124)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=385070847:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 6.53/1.39 % (3948124)Instruction limit reached!
% 6.53/1.39 % (3948124)------------------------------
% 6.53/1.39 % (3948124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948124)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948124)Termination reason: Instruction limit
% 6.53/1.39 % (3948124)Termination phase: Saturation
% 6.53/1.39 % (3948124)Time elapsed: 0.048 s
% 6.53/1.39 % (3948124)Peak memory usage: 89 MB
% 6.53/1.39 % (3948124)Instructions burned: 135 (million)
% 6.53/1.39 % (3948125)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=862548802:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 6.53/1.39 % (3948112)First to succeed.
% 6.53/1.39 % (3948112)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3948083"
% 6.53/1.39 % (3948127)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=585528440:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 6.53/1.39 % (3948125)Instruction limit reached!
% 6.53/1.39 % (3948125)------------------------------
% 6.53/1.39 % (3948125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948125)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948125)Termination reason: Instruction limit
% 6.53/1.39 % (3948125)Termination phase: Saturation
% 6.53/1.39 % (3948125)Time elapsed: 0.140 s
% 6.53/1.39 % (3948125)Peak memory usage: 105 MB
% 6.53/1.39 % (3948125)Instructions burned: 503 (million)
% 6.53/1.39 % (3948127)Instruction limit reached!
% 6.53/1.39 % (3948127)------------------------------
% 6.53/1.39 % (3948127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.39 % (3948127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.39 % (3948127)CaDiCaL version: 2.1.3
% 6.53/1.39 % (3948127)Termination reason: Instruction limit
% 6.53/1.39 % (3948127)Termination phase: Saturation
% 6.53/1.39 % (3948127)Time elapsed: 0.069 s
% 6.53/1.39 % (3948127)Peak memory usage: 92 MB
% 6.53/1.39 % (3948127)Instructions burned: 193 (million)
% 6.53/1.39 % (3948112)Refutation found. Thanks to Tanya!
% 6.53/1.39 % SZS status Unsatisfiable for theBenchmark
% 6.53/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 7.60/1.48 % (3948112)------------------------------
% 7.60/1.48 % (3948112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.60/1.48 % (3948112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/1.48 % (3948112)CaDiCaL version: 2.1.3
% 7.60/1.48 % (3948112)Termination reason: Refutation
% 7.60/1.48 % (3948112)Time elapsed: 0.425 s
% 7.60/1.48 % (3948112)Peak memory usage: 130 MB
% 7.60/1.48 % (3948112)Instructions burned: 1147 (million)
% 7.60/1.48 % (3948112)------------------------------
% 7.60/1.48 % (3948112)------------------------------
% 7.60/1.48 % (3948083)Success in time 1.06 s
% 7.60/1.48 % Vampire exiting
%------------------------------------------------------------------------------