%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM017-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 12:11:35 PM UTC 2026
% Result : Unsatisfiable 9.79s 2.35s
% Output : Refutation 9.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 62 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 33 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X4,X1)
| ~ product(X0,X1,X2)
| ~ product(X0,X3,X5)
| product(X5,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_associativity1) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_commutativity) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X2)
| ~ product(X0,X1,X2)
| X1 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f9,axiom,
! [X0,X1] :
( product(X0,second_divided_by_1st(X0,X1),X1)
| ~ divides(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_implies_product) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| divides(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_divisible_by_operand) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ product(X2,X2,X1)
| ~ divides(X0,X1)
| ~ prime(X0)
| divides(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',primes_lemma1) ).
fof(f12,axiom,
prime(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_prime) ).
fof(f16,negated_conjecture,
! [X0] :
( ~ divides(X0,c)
| ~ divides(X0,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_no_common_divisor) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,multiply(X0,X2))
| X1 = X2 ),
inference(resolution,[],[f1,f5]) ).
fof(f33,plain,
! [X0,X1] : divides(X0,multiply(X0,X1)),
inference(resolution,[],[f1,f10]) ).
fof(f36,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f1,f4]) ).
fof(f37,plain,
! [X0,X1] :
( ~ divides(X0,multiply(X1,X1))
| ~ prime(X0)
| divides(X0,X1) ),
inference(resolution,[],[f1,f11]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ divides(X0,X1)
| ~ product(X0,X2,X1)
| second_divided_by_1st(X0,X1) = X2 ),
inference(resolution,[],[f9,f5]) ).
fof(f52,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X2,X1,X3)
| ~ divides(X0,X1)
| ~ product(X2,X0,X4)
| product(X4,second_divided_by_1st(X0,X1),X3) ),
inference(resolution,[],[f9,f2]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ product(X0,X2,X1)
| second_divided_by_1st(X0,X1) = X2 ),
inference(forward_subsumption_resolution,[],[f48,f10]) ).
fof(f67,plain,
! [X0,X1] : divides(X0,multiply(X1,X0)),
inference(resolution,[],[f36,f10]) ).
fof(f90,plain,
! [X0,X1] : second_divided_by_1st(X0,multiply(X1,X0)) = X1,
inference(resolution,[],[f54,f36]) ).
fof(f149,plain,
! [X0] :
( divides(X0,X0)
| ~ prime(X0) ),
inference(resolution,[],[f37,f33]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( product(X3,second_divided_by_1st(X0,X1),multiply(X2,X1))
| ~ product(X2,X0,X3)
| ~ divides(X0,X1) ),
inference(resolution,[],[f52,f1]) ).
fof(f2179,plain,
! [X2,X0,X1] :
( ~ product(X2,X0,X2)
| second_divided_by_1st(X0,X1) = X1
| ~ divides(X0,X1) ),
inference(resolution,[],[f31,f319]) ).
fof(f2208,plain,
! [X0,X1] :
( ~ divides(second_divided_by_1st(X0,X0),X1)
| second_divided_by_1st(second_divided_by_1st(X0,X0),X1) = X1
| ~ divides(X0,X0) ),
inference(resolution,[],[f2179,f9]) ).
fof(f2217,plain,
! [X0,X1] :
( multiply(X1,second_divided_by_1st(X0,X0)) = second_divided_by_1st(second_divided_by_1st(X0,X0),multiply(X1,second_divided_by_1st(X0,X0)))
| ~ divides(X0,X0) ),
inference(resolution,[],[f2208,f67]) ).
fof(f2225,plain,
! [X0,X1] :
( ~ divides(X0,X0)
| multiply(X1,second_divided_by_1st(X0,X0)) = X1 ),
inference(forward_demodulation,[],[f2217,f90]) ).
fof(f2228,plain,
! [X0,X1] :
( ~ prime(X1)
| multiply(X0,second_divided_by_1st(X1,X1)) = X0 ),
inference(resolution,[],[f2225,f149]) ).
fof(f2230,plain,
! [X0] : multiply(X0,second_divided_by_1st(a,a)) = X0,
inference(resolution,[],[f2228,f12]) ).
fof(f2239,plain,
! [X0] : divides(X0,X0),
inference(superposition,[],[f33,f2230]) ).
fof(f2288,plain,
! [X0,X1] : multiply(X0,second_divided_by_1st(X1,X1)) = X0,
inference(resolution,[],[f2239,f2225]) ).
fof(f2339,plain,
! [X0,X1] : divides(second_divided_by_1st(X1,X1),X0),
inference(superposition,[],[f67,f2288]) ).
fof(f2394,plain,
! [X0] : ~ divides(second_divided_by_1st(X0,X0),b),
inference(resolution,[],[f2339,f16]) ).
fof(f2396,plain,
$false,
inference(forward_subsumption_resolution,[],[f2394,f2339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM017-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 18:45:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.08/2.15 % (3885797)Input is clausal, will run a generic CNF schedule.
% 8.08/2.15 % (3885807)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2849912775:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.08/2.15 % (3885806)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4256466597:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.08/2.15 % (3885804)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=128971408:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.08/2.15 % (3885805)lrs+10_1_sil=8000:sp=occurrence:random_seed=2809377938:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.08/2.15 % (3885808)dis-21_1_sil=8000:lcm=predicate:random_seed=2676677362: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)
% 8.08/2.15 % (3885802)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=3001873607:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.08/2.15 % (3885803)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3638460581:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.08/2.15 % (3885807)Instruction limit reached!
% 8.08/2.15 % (3885807)------------------------------
% 8.08/2.15 % (3885807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.15 % (3885807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.15 % (3885807)CaDiCaL version: 2.1.3
% 8.08/2.15 % (3885807)Termination reason: Instruction limit
% 8.08/2.15 % (3885807)Termination phase: Saturation
% 8.08/2.15 % (3885807)Time elapsed: 0.062 s
% 8.08/2.15 % (3885807)Peak memory usage: 89 MB
% 8.08/2.15 % (3885807)Instructions burned: 180 (million)
% 8.08/2.15 % (3885806)Instruction limit reached!
% 8.08/2.15 % (3885806)------------------------------
% 8.08/2.15 % (3885806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.15 % (3885806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.15 % (3885806)CaDiCaL version: 2.1.3
% 8.08/2.15 % (3885806)Termination reason: Instruction limit
% 8.08/2.15 % (3885806)Termination phase: Saturation
% 8.08/2.15 % (3885806)Time elapsed: 0.061 s
% 8.08/2.15 % (3885806)Peak memory usage: 88 MB
% 8.08/2.15 % (3885806)Instructions burned: 114 (million)
% 8.08/2.15 % (3885805)Instruction limit reached!
% 8.08/2.15 % (3885805)------------------------------
% 8.08/2.15 % (3885805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.15 % (3885805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.15 % (3885805)CaDiCaL version: 2.1.3
% 8.08/2.15 % (3885805)Termination reason: Instruction limit
% 8.08/2.15 % (3885805)Termination phase: Saturation
% 8.08/2.15 % (3885805)Time elapsed: 0.073 s
% 8.08/2.15 % (3885805)Peak memory usage: 89 MB
% 8.08/2.15 % (3885805)Instructions burned: 110 (million)
% 8.08/2.15 % (3885808)Instruction limit reached!
% 8.08/2.15 % (3885808)------------------------------
% 8.08/2.15 % (3885808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.15 % (3885808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.15 % (3885808)CaDiCaL version: 2.1.3
% 8.08/2.15 % (3885808)Termination reason: Instruction limit
% 8.08/2.15 % (3885808)Termination phase: Saturation
% 8.08/2.15 % (3885808)Time elapsed: 0.074 s
% 8.08/2.15 % (3885808)Peak memory usage: 88 MB
% 8.08/2.15 % (3885808)Instructions burned: 118 (million)
% 8.08/2.15 % (3885816)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=3802742137:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.08/2.15 % (3885816)Instruction limit reached!
% 8.08/2.15 % (3885816)------------------------------
% 8.08/2.15 % (3885816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.15 % (3885816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.15 % (3885816)CaDiCaL version: 2.1.3
% 8.08/2.15 % (3885816)Termination reason: Instruction limit
% 8.08/2.15 % (3885816)Termination phase: Saturation
% 8.08/2.15 % (3885816)Time elapsed: 0.052 s
% 8.08/2.15 % (3885816)Peak memory usage: 89 MB
% 8.08/2.15 % (3885816)Instructions burned: 144 (million)
% 8.08/2.15 % (3885817)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1120560281: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)
% 8.08/2.15 % (3885819)lrs+10_64_to=lpo:sil=8000:random_seed=732101275:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.08/2.15 % (3885818)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2096411596:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.08/2.15 % (3885819)Instruction limit reached!
% 8.08/2.15 % (3885819)------------------------------
% 8.08/2.15 % (3885819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.15 % (3885819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.15 % (3885819)CaDiCaL version: 2.1.3
% 8.08/2.15 % (3885819)Termination reason: Instruction limit
% 8.08/2.15 % (3885819)Termination phase: Saturation
% 8.08/2.15 % (3885819)Time elapsed: 0.080 s
% 8.08/2.15 % (3885819)Peak memory usage: 89 MB
% 8.08/2.15 % (3885819)Instructions burned: 127 (million)
% 8.08/2.15 % (3885821)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3095138810:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 8.08/2.15 % (3885817)Instruction limit reached!
% 8.08/2.15 % (3885817)------------------------------
% 8.08/2.15 % (3885817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.15 % (3885817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.15 % (3885817)CaDiCaL version: 2.1.3
% 8.08/2.15 % (3885817)Termination reason: Instruction limit
% 8.08/2.15 % (3885817)Termination phase: Saturation
% 8.08/2.15 % (3885817)Time elapsed: 0.105 s
% 8.08/2.15 % (3885817)Peak memory usage: 89 MB
% 8.08/2.15 % (3885817)Instructions burned: 189 (million)
% 8.08/2.15 % (3885818)Instruction limit reached!
% 8.08/2.15 % (3885818)------------------------------
% 8.08/2.15 % (3885818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.15 % (3885818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.15 % (3885818)CaDiCaL version: 2.1.3
% 8.08/2.15 % (3885818)Termination reason: Instruction limit
% 8.08/2.15 % (3885818)Termination phase: Saturation
% 8.08/2.15 % (3885818)Time elapsed: 0.108 s
% 8.08/2.15 % (3885818)Peak memory usage: 88 MB
% 8.08/2.15 % (3885818)Instructions burned: 219 (million)
% 8.08/2.15 % (3885821)Instruction limit reached!
% 8.08/2.15 % (3885821)------------------------------
% 8.08/2.15 % (3885821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.15 % (3885821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.15 % (3885821)CaDiCaL version: 2.1.3
% 8.08/2.15 % (3885821)Termination reason: Instruction limit
% 8.08/2.15 % (3885821)Termination phase: Saturation
% 8.08/2.15 % (3885821)Time elapsed: 0.055 s
% 8.08/2.15 % (3885821)Peak memory usage: 88 MB
% 8.08/2.15 % (3885821)Instructions burned: 197 (million)
% 8.08/2.15 % (3885825)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1414455388:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.08/2.15 % (3885828)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=4246573032:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 8.08/2.15 % (3885827)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2896031159:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 8.08/2.15 % (3885829)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1571727542:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 8.08/2.15 % (3885829)Instruction limit reached!
% 8.08/2.15 % (3885829)------------------------------
% 8.08/2.15 % (3885829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.15 % (3885829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.15 % (3885829)CaDiCaL version: 2.1.3
% 8.08/2.15 % (3885829)Termination reason: Instruction limit
% 8.08/2.15 % (3885829)Termination phase: Saturation
% 8.08/2.15 % (3885829)Time elapsed: 0.041 s
% 8.08/2.15 % (3885829)Peak memory usage: 88 MB
% 8.08/2.15 % (3885829)Instructions burned: 109 (million)
% 8.08/2.15 % (3885828)Instruction limit reached!
% 8.08/2.15 % (3885828)------------------------------
% 8.08/2.15 % (3885828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.35 % (3885828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.35 % (3885828)CaDiCaL version: 2.1.3
% 9.79/2.35 % (3885828)Termination reason: Instruction limit
% 9.79/2.35 % (3885828)Termination phase: Saturation
% 9.79/2.35 % (3885828)Time elapsed: 0.066 s
% 9.79/2.35 % (3885828)Peak memory usage: 89 MB
% 9.79/2.35 % (3885828)Instructions burned: 106 (million)
% 9.79/2.35 % (3885825)Instruction limit reached!
% 9.79/2.35 % (3885825)------------------------------
% 9.79/2.35 % (3885825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.35 % (3885825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.35 % (3885825)CaDiCaL version: 2.1.3
% 9.79/2.35 % (3885825)Termination reason: Instruction limit
% 9.79/2.35 % (3885825)Termination phase: Saturation
% 9.79/2.35 % (3885825)Time elapsed: 0.110 s
% 9.79/2.35 % (3885825)Peak memory usage: 90 MB
% 9.79/2.35 % (3885825)Instructions burned: 158 (million)
% 9.79/2.35 % (3885834)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1302169008:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 9.79/2.35 % (3885835)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1405225330:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 9.79/2.35 % (3885836)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=857208430:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 9.79/2.35 % (3885834)Instruction limit reached!
% 9.79/2.35 % (3885834)------------------------------
% 9.79/2.35 % (3885834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.35 % (3885834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.35 % (3885834)CaDiCaL version: 2.1.3
% 9.79/2.35 % (3885834)Termination reason: Instruction limit
% 9.79/2.35 % (3885834)Termination phase: Saturation
% 9.79/2.35 % (3885834)Time elapsed: 0.078 s
% 9.79/2.35 % (3885834)Peak memory usage: 89 MB
% 9.79/2.35 % (3885834)Instructions burned: 244 (million)
% 9.79/2.35 % (3885836)Instruction limit reached!
% 9.79/2.35 % (3885836)------------------------------
% 9.79/2.35 % (3885836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.35 % (3885836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.35 % (3885836)CaDiCaL version: 2.1.3
% 9.79/2.35 % (3885836)Termination reason: Instruction limit
% 9.79/2.35 % (3885836)Termination phase: Saturation
% 9.79/2.35 % (3885836)Time elapsed: 0.075 s
% 9.79/2.35 % (3885836)Peak memory usage: 88 MB
% 9.79/2.35 % (3885836)Instructions burned: 135 (million)
% 9.79/2.35 % (3885840)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1981831815:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 9.79/2.35 % (3885802)First to succeed.
% 9.79/2.35 % (3885802)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3885797"
% 9.79/2.35 % (3885841)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=603243063:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 9.79/2.35 % (3885840)Instruction limit reached!
% 9.79/2.35 % (3885840)------------------------------
% 9.79/2.35 % (3885840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.35 % (3885840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.35 % (3885840)CaDiCaL version: 2.1.3
% 9.79/2.35 % (3885840)Termination reason: Instruction limit
% 9.79/2.35 % (3885840)Termination phase: Saturation
% 9.79/2.35 % (3885840)Time elapsed: 0.149 s
% 9.79/2.35 % (3885840)Peak memory usage: 92 MB
% 9.79/2.35 % (3885840)Instructions burned: 501 (million)
% 9.79/2.35 % (3885841)Instruction limit reached!
% 9.79/2.35 % (3885841)------------------------------
% 9.79/2.35 % (3885841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.35 % (3885841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.35 % (3885841)CaDiCaL version: 2.1.3
% 9.79/2.35 % (3885841)Termination reason: Instruction limit
% 9.79/2.35 % (3885841)Termination phase: Saturation
% 9.79/2.35 % (3885841)Time elapsed: 0.133 s
% 9.79/2.35 % (3885841)Peak memory usage: 92 MB
% 9.79/2.35 % (3885841)Instructions burned: 191 (million)
% 9.79/2.35 % (3885802)Refutation found. Thanks to Tanya!
% 9.79/2.35 % SZS status Unsatisfiable for theBenchmark
% 9.79/2.35 % SZS output start Proof for theBenchmark
% See solution above
% 9.79/2.35 % (3885802)------------------------------
% 9.79/2.35 % (3885802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.35 % (3885802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.35 % (3885802)CaDiCaL version: 2.1.3
% 9.79/2.35 % (3885802)Termination reason: Refutation
% 9.79/2.35 % (3885802)Time elapsed: 0.871 s
% 9.79/2.35 % (3885802)Peak memory usage: 129 MB
% 9.79/2.35 % (3885802)Instructions burned: 1296 (million)
% 9.79/2.35 % (3885802)------------------------------
% 9.79/2.35 % (3885802)------------------------------
% 9.79/2.35 % (3885797)Success in time 1.3 s
% 9.79/2.35 % Vampire exiting
%------------------------------------------------------------------------------