%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:11:33 PM UTC 2026
% Result : Unsatisfiable 7.46s 3.04s
% Output : Refutation 15.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 22
% Syntax : Number of formulae : 69 ( 30 unt; 3 def)
% Number of atoms : 165 ( 13 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 185 ( 89 ~; 96 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X0,X1] :
( ~ divides(X2,X1)
| ~ divides(X0,X2)
| divides(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_divides) ).
fof(f3,axiom,
! [X0,X1] : divides(X0,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operand_divides_product) ).
fof(f4,axiom,
! [X2,X0,X1] :
( divides(multiply(X0,X1),multiply(X0,X2))
| ~ divides(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_and_multiply) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ divides(quotient(X0,X1),X2)
| ~ divides(X1,X0)
| divides(X0,multiply(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_quotient_multiply1) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ divides(X0,multiply(X1,X2))
| ~ divides(X1,X0)
| divides(quotient(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_quotient_multiply3) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ gcd(X2,X1,X0)
| divides(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gcd_divides1) ).
fof(f11,axiom,
! [X0,X1] : divides(k(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_k1) ).
fof(f12,axiom,
! [X0,X1] : divides(k(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_k2) ).
fof(f13,axiom,
! [X2,X0,X1] :
( divides(X0,k(X1,X2))
| ~ divides(X0,X2)
| ~ divides(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_k3) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ gcd(X2,X3,X1)
| ~ divides(X0,X2)
| ~ divides(X0,X3)
| divides(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gcd1) ).
fof(f15,axiom,
! [X2,X0,X1] :
( divides(h(X1,X0,X2),X0)
| ~ divides(X2,X0)
| ~ divides(X2,X1)
| gcd(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gcd2) ).
fof(f16,axiom,
! [X2,X0,X1] :
( divides(h(X1,X0,X2),X1)
| ~ divides(X2,X0)
| ~ divides(X2,X1)
| gcd(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gcd3) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ divides(h(X1,X0,X2),X2)
| ~ divides(X2,X0)
| ~ divides(X2,X1)
| gcd(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gcd4) ).
fof(f18,axiom,
! [X2,X0,X1] : h(X0,X1,X2) = h(X1,X0,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_h) ).
fof(f19,plain,
! [X2,X0,X1] : h(X1,X0,X2) = h(X0,X1,X2),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
! [X0,X1] : k(X0,X1) = k(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_k) ).
fof(f21,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ gcd(X0,X1,X2)
| gcd(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_gcd) ).
fof(f23,axiom,
gcd(a,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_is_gcd_of_a_and_b) ).
fof(f24,negated_conjecture,
~ gcd(multiply(a,c),multiply(b,c),multiply(e,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_gcd) ).
fof(f25,definition,
sF0 = multiply(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f26,plain,
multiply(a,c) = sF0,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF1 = multiply(b,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f28,plain,
multiply(b,c) = sF1,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF2 = multiply(e,c),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f30,plain,
multiply(e,c) = sF2,
inference(reorient_equations,[],[f29]) ).
fof(f31,plain,
~ gcd(sF0,sF1,sF2),
inference(definition_folding,[],[f24,f30,f28,f26]) ).
fof(f32,plain,
sF0 = multiply(c,a),
inference(forward_demodulation,[],[f26,f21]) ).
fof(f33,plain,
sF1 = multiply(c,b),
inference(forward_demodulation,[],[f28,f21]) ).
fof(f34,plain,
sF2 = multiply(c,e),
inference(forward_demodulation,[],[f30,f21]) ).
fof(f35,plain,
gcd(b,a,e),
inference(resolution,[],[f22,f23]) ).
fof(f37,plain,
divides(c,sF0),
inference(superposition,[],[f3,f32]) ).
fof(f38,plain,
divides(c,sF1),
inference(superposition,[],[f3,f33]) ).
fof(f41,plain,
! [X0] :
( divides(quotient(X0,c),a)
| ~ divides(c,X0)
| ~ divides(X0,sF0) ),
inference(superposition,[],[f8,f32]) ).
fof(f42,plain,
! [X0] :
( divides(quotient(X0,c),b)
| ~ divides(c,X0)
| ~ divides(X0,sF1) ),
inference(superposition,[],[f8,f33]) ).
fof(f46,plain,
! [X0] :
( ~ divides(X0,b)
| ~ divides(X0,a)
| divides(X0,e) ),
inference(resolution,[],[f14,f35]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ divides(h(X0,X1,X2),X2)
| ~ divides(X2,X0)
| ~ divides(X2,X1)
| gcd(X0,X1,X2) ),
inference(superposition,[],[f17,f19]) ).
fof(f81,plain,
! [X0] :
( divides(multiply(c,X0),sF0)
| ~ divides(X0,a) ),
inference(superposition,[],[f4,f32]) ).
fof(f82,plain,
! [X0] :
( divides(multiply(c,X0),sF1)
| ~ divides(X0,b) ),
inference(superposition,[],[f4,f33]) ).
fof(f130,plain,
! [X2,X0,X1] :
( divides(h(X0,X1,X2),X0)
| ~ divides(X2,X0)
| ~ divides(X2,X1)
| gcd(X0,X1,X2) ),
inference(superposition,[],[f15,f19]) ).
fof(f181,plain,
! [X2,X0,X1] :
( divides(h(X0,X1,X2),X1)
| ~ divides(X2,X0)
| ~ divides(X2,X1)
| gcd(X0,X1,X2) ),
inference(superposition,[],[f16,f19]) ).
fof(f199,plain,
divides(e,b),
inference(resolution,[],[f9,f23]) ).
fof(f200,plain,
divides(e,a),
inference(resolution,[],[f9,f35]) ).
fof(f218,plain,
( divides(sF2,sF0)
| ~ divides(e,a) ),
inference(superposition,[],[f81,f34]) ).
fof(f221,plain,
divides(sF2,sF0),
inference(forward_subsumption_resolution,[],[f218,f200]) ).
fof(f239,plain,
( divides(sF2,sF1)
| ~ divides(e,b) ),
inference(superposition,[],[f82,f34]) ).
fof(f242,plain,
divides(sF2,sF1),
inference(forward_subsumption_resolution,[],[f239,f199]) ).
fof(f344,plain,
! [X0] :
( ~ divides(quotient(X0,c),a)
| divides(quotient(X0,c),e)
| ~ divides(c,X0)
| ~ divides(X0,sF1) ),
inference(resolution,[],[f46,f42]) ).
fof(f1463,plain,
! [X0] :
( divides(quotient(X0,c),e)
| ~ divides(c,X0)
| ~ divides(X0,sF1)
| ~ divides(c,X0)
| ~ divides(X0,sF0) ),
inference(resolution,[],[f344,f41]) ).
fof(f1481,plain,
! [X0] :
( divides(quotient(X0,c),e)
| ~ divides(c,X0)
| ~ divides(X0,sF1)
| ~ divides(X0,sF0) ),
inference(duplicate_literal_removal,[],[f1463]) ).
fof(f1497,plain,
! [X0] :
( ~ divides(c,X0)
| ~ divides(X0,sF1)
| ~ divides(X0,sF0)
| ~ divides(c,X0)
| divides(X0,multiply(c,e)) ),
inference(resolution,[],[f1481,f6]) ).
fof(f1503,plain,
! [X0] :
( ~ divides(c,X0)
| ~ divides(X0,sF1)
| ~ divides(X0,sF0)
| divides(X0,multiply(c,e)) ),
inference(duplicate_literal_removal,[],[f1497]) ).
fof(f1504,plain,
! [X0] :
( ~ divides(c,X0)
| divides(X0,sF2)
| ~ divides(X0,sF1)
| ~ divides(X0,sF0) ),
inference(forward_demodulation,[],[f1503,f34]) ).
fof(f1523,plain,
! [X0,X1] :
( ~ divides(k(X0,X1),sF1)
| divides(k(X0,X1),sF2)
| ~ divides(k(X0,X1),sF0)
| ~ divides(c,X1)
| ~ divides(c,X0) ),
inference(resolution,[],[f1504,f13]) ).
fof(f1528,plain,
! [X0] :
( divides(k(sF1,X0),sF2)
| ~ divides(k(sF1,X0),sF0)
| ~ divides(c,X0)
| ~ divides(c,sF1) ),
inference(resolution,[],[f1523,f12]) ).
fof(f1532,plain,
! [X0] :
( ~ divides(k(sF1,X0),sF0)
| divides(k(sF1,X0),sF2)
| ~ divides(c,X0) ),
inference(forward_subsumption_resolution,[],[f1528,f38]) ).
fof(f1550,plain,
( divides(k(sF1,sF0),sF2)
| ~ divides(c,sF0) ),
inference(resolution,[],[f1532,f11]) ).
fof(f1553,plain,
divides(k(sF1,sF0),sF2),
inference(forward_subsumption_resolution,[],[f1550,f37]) ).
fof(f1554,plain,
divides(k(sF0,sF1),sF2),
inference(forward_demodulation,[],[f1553,f20]) ).
fof(f1557,plain,
! [X0] :
( ~ divides(X0,k(sF0,sF1))
| divides(X0,sF2) ),
inference(resolution,[],[f1554,f2]) ).
fof(f1770,plain,
! [X0] :
( ~ divides(X0,sF1)
| divides(X0,sF2)
| ~ divides(X0,sF0) ),
inference(resolution,[],[f1557,f13]) ).
fof(f1834,plain,
! [X0,X1] :
( ~ divides(h(X0,sF1,X1),sF0)
| divides(h(X0,sF1,X1),sF2)
| ~ divides(X1,X0)
| ~ divides(X1,sF1)
| gcd(X0,sF1,X1) ),
inference(resolution,[],[f1770,f181]) ).
fof(f1849,plain,
! [X0] :
( divides(h(sF0,sF1,X0),sF2)
| ~ divides(X0,sF0)
| ~ divides(X0,sF1)
| gcd(sF0,sF1,X0)
| ~ divides(X0,sF0)
| ~ divides(X0,sF1)
| gcd(sF0,sF1,X0) ),
inference(resolution,[],[f1834,f130]) ).
fof(f1852,plain,
! [X0] :
( divides(h(sF0,sF1,X0),sF2)
| ~ divides(X0,sF0)
| ~ divides(X0,sF1)
| gcd(sF0,sF1,X0) ),
inference(duplicate_literal_removal,[],[f1849]) ).
fof(f1854,plain,
( ~ divides(sF2,sF0)
| ~ divides(sF2,sF1)
| gcd(sF0,sF1,sF2)
| ~ divides(sF2,sF0)
| ~ divides(sF2,sF1)
| gcd(sF0,sF1,sF2) ),
inference(resolution,[],[f1852,f71]) ).
fof(f1860,plain,
( ~ divides(sF2,sF0)
| ~ divides(sF2,sF1)
| gcd(sF0,sF1,sF2) ),
inference(duplicate_literal_removal,[],[f1854]) ).
fof(f1862,plain,
( ~ divides(sF2,sF1)
| gcd(sF0,sF1,sF2) ),
inference(forward_subsumption_resolution,[],[f1860,f221]) ).
fof(f1864,plain,
gcd(sF0,sF1,sF2),
inference(forward_subsumption_resolution,[],[f1862,f242]) ).
fof(f1866,plain,
$false,
inference(forward_subsumption_resolution,[],[f1864,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 18:39:19 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.58/2.48 % (3328863)Input is clausal, will run a generic CNF schedule.
% 10.58/2.48 % (3328880)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=229227994:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.58/2.48 % (3328882)lrs+10_1_sil=8000:sp=occurrence:random_seed=1874411849:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.58/2.48 % (3328881)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1487136508:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.58/2.48 % (3328884)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=962591554:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.58/2.48 % (3328879)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=1017584210:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.58/2.48 % (3328885)dis-21_1_sil=8000:lcm=predicate:random_seed=3215052732: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)
% 10.58/2.48 % (3328883)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1246319585:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.58/2.48 % (3328883)Refutation not found, incomplete strategy
% 10.58/2.48 % (3328883)------------------------------
% 10.58/2.48 % (3328883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.58/2.48 % (3328883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.48 % (3328883)CaDiCaL version: 2.1.3
% 10.58/2.48 % (3328883)Termination reason: Refutation not found, incomplete strategy
% 10.58/2.48 % (3328883)Time elapsed: 0.001 s
% 10.58/2.48 % (3328883)Peak memory usage: 87 MB
% 10.58/2.48 % (3328882)Instruction limit reached!
% 10.58/2.48 % (3328882)------------------------------
% 10.58/2.48 % (3328882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.58/2.48 % (3328882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.48 % (3328882)CaDiCaL version: 2.1.3
% 10.58/2.48 % (3328882)Termination reason: Instruction limit
% 10.58/2.48 % (3328882)Termination phase: Saturation
% 10.58/2.48 % (3328882)Time elapsed: 0.069 s
% 10.58/2.48 % (3328882)Peak memory usage: 89 MB
% 10.58/2.48 % (3328882)Instructions burned: 109 (million)
% 10.58/2.48 % (3328885)Instruction limit reached!
% 10.58/2.48 % (3328885)------------------------------
% 10.58/2.48 % (3328885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.58/2.48 % (3328885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.48 % (3328885)CaDiCaL version: 2.1.3
% 10.58/2.48 % (3328885)Termination reason: Instruction limit
% 10.58/2.48 % (3328885)Termination phase: Saturation
% 10.58/2.48 % (3328885)Time elapsed: 0.071 s
% 10.58/2.48 % (3328885)Peak memory usage: 89 MB
% 10.58/2.48 % (3328885)Instructions burned: 118 (million)
% 10.58/2.48 % (3328884)Instruction limit reached!
% 10.58/2.48 % (3328884)------------------------------
% 10.58/2.48 % (3328884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.58/2.48 % (3328884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.48 % (3328884)CaDiCaL version: 2.1.3
% 10.58/2.48 % (3328884)Termination reason: Instruction limit
% 10.58/2.48 % (3328884)Termination phase: Saturation
% 10.58/2.48 % (3328884)Time elapsed: 0.120 s
% 10.58/2.48 % (3328884)Peak memory usage: 89 MB
% 10.58/2.48 % (3328884)Instructions burned: 180 (million)
% 10.58/2.48 % (3328894)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=580154368:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.58/2.48 % (3328895)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=160168676: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)
% 10.58/2.48 % (3328896)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2585954097:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.58/2.48 % (3328883)------------------------------
% 10.58/2.48 % (3328883)------------------------------
% 10.58/2.48 % (3328894)Instruction limit reached!
% 10.58/2.48 % (3328894)------------------------------
% 10.58/2.48 % (3328894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3328894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3328894)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3328894)Termination reason: Instruction limit
% 7.46/3.04 % (3328894)Termination phase: Saturation
% 7.46/3.04 % (3328894)Time elapsed: 0.093 s
% 7.46/3.04 % (3328894)Peak memory usage: 88 MB
% 7.46/3.04 % (3328894)Instructions burned: 144 (million)
% 7.46/3.04 % (3328895)Instruction limit reached!
% 7.46/3.04 % (3328895)------------------------------
% 7.46/3.04 % (3328895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3328895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3328895)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3328895)Termination reason: Instruction limit
% 7.46/3.04 % (3328895)Termination phase: Saturation
% 7.46/3.04 % (3328895)Time elapsed: 0.102 s
% 7.46/3.04 % (3328895)Peak memory usage: 90 MB
% 7.46/3.04 % (3328895)Instructions burned: 189 (million)
% 7.46/3.04 % (3328896)Instruction limit reached!
% 7.46/3.04 % (3328896)------------------------------
% 7.46/3.04 % (3328896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3328896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3328896)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3328896)Termination reason: Instruction limit
% 7.46/3.04 % (3328896)Termination phase: Saturation
% 7.46/3.04 % (3328896)Time elapsed: 0.137 s
% 7.46/3.04 % (3328896)Peak memory usage: 90 MB
% 7.46/3.04 % (3328896)Instructions burned: 219 (million)
% 7.46/3.04 % (3328940)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3884171532:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.46/3.04 % (3328939)lrs+10_64_to=lpo:sil=8000:random_seed=3213106561:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 7.46/3.04 % (3328945)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=711917140:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.46/3.04 % (3328939)Instruction limit reached!
% 7.46/3.04 % (3328939)------------------------------
% 7.46/3.04 % (3328939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3328939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3328939)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3328939)Termination reason: Instruction limit
% 7.46/3.04 % (3328939)Termination phase: Saturation
% 7.46/3.04 % (3328939)Time elapsed: 0.077 s
% 7.46/3.04 % (3328939)Peak memory usage: 88 MB
% 7.46/3.04 % (3328939)Instructions burned: 127 (million)
% 7.46/3.04 % (3328978)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=191902956:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.46/3.04 % (3328945)Instruction limit reached!
% 7.46/3.04 % (3328945)------------------------------
% 7.46/3.04 % (3328945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3328945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3328945)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3328945)Termination reason: Instruction limit
% 7.46/3.04 % (3328945)Termination phase: Saturation
% 7.46/3.04 % (3328945)Time elapsed: 0.107 s
% 7.46/3.04 % (3328945)Peak memory usage: 90 MB
% 7.46/3.04 % (3328945)Instructions burned: 157 (million)
% 7.46/3.04 % (3328940)Instruction limit reached!
% 7.46/3.04 % (3328940)------------------------------
% 7.46/3.04 % (3328940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3328940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3328940)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3328940)Termination reason: Instruction limit
% 7.46/3.04 % (3328940)Termination phase: Saturation
% 7.46/3.04 % (3328940)Time elapsed: 0.131 s
% 7.46/3.04 % (3328940)Peak memory usage: 90 MB
% 7.46/3.04 % (3328940)Instructions burned: 195 (million)
% 7.46/3.04 % (3329012)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=255688580:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.46/3.04 % (3329014)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2888984217:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.46/3.04 % (3329012)Instruction limit reached!
% 7.46/3.04 % (3329012)------------------------------
% 7.46/3.04 % (3329012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3329012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3329012)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3329012)Termination reason: Instruction limit
% 7.46/3.04 % (3329012)Termination phase: Saturation
% 7.46/3.04 % (3329012)Time elapsed: 0.064 s
% 7.46/3.04 % (3329012)Peak memory usage: 89 MB
% 7.46/3.04 % (3329012)Instructions burned: 107 (million)
% 7.46/3.04 % (3329015)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=644386448:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.46/3.04 % (3329014)Instruction limit reached!
% 7.46/3.04 % (3329014)------------------------------
% 7.46/3.04 % (3329014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3329014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3329014)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3329014)Termination reason: Instruction limit
% 7.46/3.04 % (3329014)Termination phase: Saturation
% 7.46/3.04 % (3329014)Time elapsed: 0.065 s
% 7.46/3.04 % (3329014)Peak memory usage: 89 MB
% 7.46/3.04 % (3329014)Instructions burned: 107 (million)
% 7.46/3.04 % (3329057)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3450048516:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 7.46/3.04 % (3329015)Instruction limit reached!
% 7.46/3.04 % (3329015)------------------------------
% 7.46/3.04 % (3329015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3329015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3329015)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3329015)Termination reason: Instruction limit
% 7.46/3.04 % (3329015)Termination phase: Saturation
% 7.46/3.04 % (3329015)Time elapsed: 0.159 s
% 7.46/3.04 % (3329015)Peak memory usage: 90 MB
% 7.46/3.04 % (3329015)Instructions burned: 242 (million)
% 7.46/3.04 % (3329067)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3129168511:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 7.46/3.04 % (3329067)Instruction limit reached!
% 7.46/3.04 % (3329067)------------------------------
% 7.46/3.04 % (3329067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3329067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3329067)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3329067)Termination reason: Instruction limit
% 7.46/3.04 % (3329067)Termination phase: Saturation
% 7.46/3.04 % (3329067)Time elapsed: 0.094 s
% 7.46/3.04 % (3329067)Peak memory usage: 90 MB
% 7.46/3.04 % (3329067)Instructions burned: 135 (million)
% 7.46/3.04 % (3329069)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=854959518:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 7.46/3.04 % (3329071)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=661946901:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 7.46/3.04 % (3329071)Instruction limit reached!
% 7.46/3.04 % (3329071)------------------------------
% 7.46/3.04 % (3329071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3329071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3329071)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3329071)Termination reason: Instruction limit
% 7.46/3.04 % (3329071)Termination phase: Saturation
% 7.46/3.04 % (3329071)Time elapsed: 0.121 s
% 7.46/3.04 % (3329071)Peak memory usage: 91 MB
% 7.46/3.04 % (3329071)Instructions burned: 191 (million)
% 7.46/3.04 % (3329069)Instruction limit reached!
% 7.46/3.04 % (3329069)------------------------------
% 7.46/3.04 % (3329069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3329069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3329069)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3329069)Termination reason: Instruction limit
% 7.46/3.04 % (3329069)Termination phase: Saturation
% 7.46/3.04 % (3329069)Time elapsed: 0.279 s
% 7.46/3.04 % (3329069)Peak memory usage: 95 MB
% 7.46/3.04 % (3329069)Instructions burned: 499 (million)
% 7.46/3.04 % (3329074)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1102377755:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 7.46/3.04 % (3329075)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1679882801:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 7.46/3.04 % (3329074)Instruction limit reached!
% 7.46/3.04 % (3329074)------------------------------
% 7.46/3.04 % (3329074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3329074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3329074)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3329074)Termination reason: Instruction limit
% 7.46/3.04 % (3329074)Termination phase: Saturation
% 7.46/3.04 % (3329074)Time elapsed: 0.162 s
% 7.46/3.04 % (3329074)Peak memory usage: 91 MB
% 7.46/3.04 % (3329074)Instructions burned: 265 (million)
% 7.46/3.04 % (3329075)Instruction limit reached!
% 7.46/3.04 % (3329075)------------------------------
% 7.46/3.04 % (3329075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3329075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3329075)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3329075)Termination reason: Instruction limit
% 7.46/3.04 % (3329075)Termination phase: Saturation
% 7.46/3.04 % (3329075)Time elapsed: 0.112 s
% 7.46/3.04 % (3329075)Peak memory usage: 89 MB
% 7.46/3.04 % (3329075)Instructions burned: 157 (million)
% 7.46/3.04 % (3329078)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=3072021544:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 7.46/3.04 % (3329079)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1984282887:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 7.46/3.04 % (3329057)First to succeed.
% 7.46/3.04 % (3329057)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3328863"
% 7.46/3.04 % (3329079)Instruction limit reached!
% 7.46/3.04 % (3329079)------------------------------
% 7.46/3.04 % (3329079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.46/3.04 % (3329079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/3.04 % (3329079)CaDiCaL version: 2.1.3
% 7.46/3.04 % (3329079)Termination reason: Instruction limit
% 7.46/3.04 % (3329079)Termination phase: Saturation
% 7.46/3.04 % (3329079)Time elapsed: 0.291 s
% 7.46/3.04 % (3329079)Peak memory usage: 90 MB
% 7.46/3.04 % (3329079)Instructions burned: 539 (million)
% 7.46/3.04 % (3329057)Refutation found. Thanks to Tanya!
% 7.46/3.04 % SZS status Unsatisfiable for theBenchmark
% 7.46/3.04 % SZS output start Proof for theBenchmark
% See solution above
% 15.45/3.23 % (3329057)------------------------------
% 15.45/3.23 % (3329057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/3.23 % (3329057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/3.23 % (3329057)CaDiCaL version: 2.1.3
% 15.45/3.23 % (3329057)Termination reason: Refutation
% 15.45/3.23 % (3329057)Time elapsed: 0.868 s
% 15.45/3.23 % (3329057)Peak memory usage: 131 MB
% 15.45/3.23 % (3329057)Instructions burned: 1291 (million)
% 15.45/3.23 % (3329057)------------------------------
% 15.45/3.23 % (3329057)------------------------------
% 15.45/3.23 % (3328863)Success in time 2.075 s
% 15.45/3.23 % Vampire exiting
%------------------------------------------------------------------------------