%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HEN009-3 : 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 : 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 10:19:08 AM UTC 2026
% Result : Unsatisfiable 10.12s 2.83s
% Output : Refutation 13.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 16
% Syntax : Number of formulae : 89 ( 71 unt; 5 def)
% Number of atoms : 112 ( 73 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 28 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
fof(f5,negated_conjecture,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f7,negated_conjecture,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f8,negated_conjecture,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_theorem) ).
fof(f9,negated_conjecture,
divide(identity,a) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id_divide_a_is_b) ).
fof(f10,negated_conjecture,
divide(identity,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id_divide_b_is_c) ).
fof(f11,negated_conjecture,
divide(identity,c) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id_divide_c_is_d) ).
fof(f13,definition,
sF0 = divide(identity,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f14,plain,
divide(identity,a) = sF0,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF1 = divide(identity,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f16,plain,
divide(identity,sF0) = sF1,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF2 = divide(identity,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f18,plain,
divide(identity,sF1) = sF2,
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
sF0 != sF2,
inference(definition_folding,[],[f8,f18,f16,f14,f14]) ).
fof(f20,plain,
b = sF0,
inference(definition_folding,[],[f9,f14]) ).
fof(f21,definition,
sF3 = divide(identity,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f22,plain,
divide(identity,b) = sF3,
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
c = sF3,
inference(definition_folding,[],[f10,f22]) ).
fof(f24,definition,
sF4 = divide(identity,c),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f25,plain,
divide(identity,c) = sF4,
inference(reorient_equations,[],[f24]) ).
fof(f26,plain,
d = sF4,
inference(definition_folding,[],[f11,f25]) ).
fof(f27,plain,
divide(identity,b) = c,
inference(forward_demodulation,[],[f22,f23]) ).
fof(f28,plain,
divide(identity,c) = d,
inference(forward_demodulation,[],[f25,f26]) ).
fof(f29,plain,
c = divide(identity,sF0),
inference(forward_demodulation,[],[f27,f20]) ).
fof(f35,plain,
c = sF1,
inference(superposition,[],[f16,f29]) ).
fof(f37,plain,
divide(identity,c) = sF2,
inference(superposition,[],[f18,f35]) ).
fof(f38,plain,
d = sF2,
inference(forward_demodulation,[],[f37,f28]) ).
fof(f39,plain,
d != sF0,
inference(superposition,[],[f19,f38]) ).
fof(f40,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f42,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[],[f6,f3]) ).
fof(f44,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f40,f3]) ).
fof(f54,plain,
! [X0] : less_equal(divide(sF0,divide(X0,a)),divide(divide(identity,X0),a)),
inference(superposition,[],[f4,f14]) ).
fof(f55,plain,
! [X0] : less_equal(divide(d,divide(X0,c)),divide(divide(identity,X0),c)),
inference(superposition,[],[f4,f28]) ).
fof(f66,plain,
! [X0] : less_equal(divide(divide(identity,X0),divide(a,X0)),divide(sF0,X0)),
inference(superposition,[],[f4,f14]) ).
fof(f84,plain,
less_equal(divide(sF0,sF0),divide(divide(identity,identity),a)),
inference(superposition,[],[f54,f14]) ).
fof(f87,plain,
less_equal(divide(sF0,divide(c,a)),divide(d,a)),
inference(superposition,[],[f54,f28]) ).
fof(f96,plain,
! [X0] : zero = divide(X0,identity),
inference(resolution,[],[f1,f7]) ).
fof(f97,plain,
! [X0,X1] : zero = divide(divide(X0,X1),X0),
inference(resolution,[],[f1,f3]) ).
fof(f101,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),divide(identity,X1)),divide(zero,X1)),
inference(superposition,[],[f4,f96]) ).
fof(f107,plain,
less_equal(divide(sF0,sF0),divide(zero,a)),
inference(superposition,[],[f84,f96]) ).
fof(f110,plain,
less_equal(divide(sF0,sF0),zero),
inference(forward_demodulation,[],[f107,f44]) ).
fof(f114,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),divide(identity,X1)),zero),
inference(forward_demodulation,[],[f101,f44]) ).
fof(f118,plain,
zero = divide(sF0,sF0),
inference(resolution,[],[f110,f40]) ).
fof(f153,plain,
less_equal(divide(c,divide(a,sF0)),divide(sF0,sF0)),
inference(superposition,[],[f66,f29]) ).
fof(f166,plain,
less_equal(divide(c,divide(a,sF0)),zero),
inference(forward_demodulation,[],[f153,f118]) ).
fof(f219,plain,
zero = divide(c,divide(a,sF0)),
inference(resolution,[],[f166,f40]) ).
fof(f247,plain,
! [X0,X1] :
( divide(X0,X1) != zero
| ~ less_equal(X1,X0)
| X0 = X1 ),
inference(resolution,[],[f2,f6]) ).
fof(f248,plain,
! [X0] :
( zero != divide(X0,zero)
| zero = X0 ),
inference(resolution,[],[f2,f40]) ).
fof(f283,plain,
! [X0] : less_equal(divide(divide(X0,c),d),zero),
inference(superposition,[],[f114,f28]) ).
fof(f284,plain,
! [X0] : less_equal(divide(divide(X0,sF0),c),zero),
inference(superposition,[],[f114,f29]) ).
fof(f344,plain,
! [X0] : zero = divide(divide(X0,c),d),
inference(resolution,[],[f283,f40]) ).
fof(f353,plain,
! [X0] : zero = divide(divide(X0,sF0),c),
inference(resolution,[],[f284,f40]) ).
fof(f422,plain,
less_equal(divide(d,divide(sF0,c)),zero),
inference(superposition,[],[f55,f353]) ).
fof(f438,plain,
zero = divide(d,divide(sF0,c)),
inference(resolution,[],[f422,f40]) ).
fof(f1404,plain,
( zero != zero
| ~ less_equal(divide(a,sF0),c)
| c = divide(a,sF0) ),
inference(superposition,[],[f247,f219]) ).
fof(f1406,plain,
( zero != zero
| ~ less_equal(divide(sF0,c),d)
| d = divide(sF0,c) ),
inference(superposition,[],[f247,f438]) ).
fof(f1411,plain,
( ~ less_equal(divide(sF0,c),d)
| d = divide(sF0,c) ),
inference(trivial_inequality_removal,[],[f1406]) ).
fof(f1413,plain,
( ~ less_equal(divide(a,sF0),c)
| c = divide(a,sF0) ),
inference(trivial_inequality_removal,[],[f1404]) ).
fof(f1940,plain,
( c = divide(a,sF0)
| zero != divide(divide(a,sF0),c) ),
inference(resolution,[],[f1413,f2]) ).
fof(f1941,plain,
c = divide(a,sF0),
inference(forward_subsumption_resolution,[],[f1940,f353]) ).
fof(f1960,plain,
zero = divide(c,a),
inference(superposition,[],[f97,f1941]) ).
fof(f1982,plain,
less_equal(divide(sF0,zero),divide(d,a)),
inference(superposition,[],[f87,f1960]) ).
fof(f2018,plain,
zero = divide(divide(sF0,zero),divide(d,a)),
inference(resolution,[],[f1982,f1]) ).
fof(f2039,plain,
less_equal(divide(divide(sF0,divide(d,a)),divide(zero,divide(d,a))),zero),
inference(superposition,[],[f4,f2018]) ).
fof(f2059,plain,
less_equal(divide(divide(sF0,divide(d,a)),zero),zero),
inference(forward_demodulation,[],[f2039,f44]) ).
fof(f2099,plain,
zero = divide(divide(sF0,divide(d,a)),zero),
inference(resolution,[],[f2059,f40]) ).
fof(f2106,plain,
( zero != zero
| zero = divide(sF0,divide(d,a)) ),
inference(superposition,[],[f248,f2099]) ).
fof(f2122,plain,
zero = divide(sF0,divide(d,a)),
inference(trivial_inequality_removal,[],[f2106]) ).
fof(f2488,plain,
( d = divide(sF0,c)
| zero != divide(divide(sF0,c),d) ),
inference(resolution,[],[f1411,f2]) ).
fof(f2489,plain,
d = divide(sF0,c),
inference(forward_subsumption_resolution,[],[f2488,f344]) ).
fof(f2511,plain,
( ~ less_equal(sF0,d)
| d = sF0 ),
inference(superposition,[],[f42,f2489]) ).
fof(f2514,plain,
zero = divide(d,sF0),
inference(superposition,[],[f97,f2489]) ).
fof(f2527,plain,
~ less_equal(sF0,d),
inference(forward_subsumption_resolution,[],[f2511,f39]) ).
fof(f2537,plain,
zero != divide(sF0,d),
inference(resolution,[],[f2527,f2]) ).
fof(f2552,plain,
! [X0] : less_equal(divide(divide(d,X0),divide(sF0,X0)),divide(zero,X0)),
inference(superposition,[],[f4,f2514]) ).
fof(f2569,plain,
! [X0] : less_equal(divide(divide(d,X0),divide(sF0,X0)),zero),
inference(forward_demodulation,[],[f2552,f44]) ).
fof(f2578,plain,
! [X0] : zero = divide(divide(d,X0),divide(sF0,X0)),
inference(resolution,[],[f2569,f40]) ).
fof(f2613,plain,
zero = divide(divide(d,divide(d,a)),zero),
inference(superposition,[],[f2578,f2122]) ).
fof(f2664,plain,
( zero != zero
| zero = divide(d,divide(d,a)) ),
inference(superposition,[],[f248,f2613]) ).
fof(f2682,plain,
zero = divide(d,divide(d,a)),
inference(trivial_inequality_removal,[],[f2664]) ).
fof(f2713,plain,
( zero != zero
| ~ less_equal(divide(d,a),d)
| d = divide(d,a) ),
inference(superposition,[],[f247,f2682]) ).
fof(f2716,plain,
( ~ less_equal(divide(d,a),d)
| d = divide(d,a) ),
inference(trivial_inequality_removal,[],[f2713]) ).
fof(f2717,plain,
d = divide(d,a),
inference(forward_subsumption_resolution,[],[f2716,f3]) ).
fof(f2731,plain,
zero = divide(sF0,d),
inference(superposition,[],[f2122,f2717]) ).
fof(f2770,plain,
$false,
inference(forward_subsumption_resolution,[],[f2731,f2537]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : HEN009-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n007.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 10:49:10 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 10.12/2.83 % (1235390)Input is clausal, will run a generic CNF schedule.
% 10.12/2.83 % (1235408)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4019994072:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.12/2.83 % (1235407)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3780047589:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.12/2.83 % (1235407)Refutation not found, incomplete strategy
% 10.12/2.83 % (1235407)------------------------------
% 10.12/2.83 % (1235407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.83 % (1235407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.83 % (1235407)CaDiCaL version: 2.1.3
% 10.12/2.83 % (1235407)Termination reason: Refutation not found, incomplete strategy
% 10.12/2.83 % (1235407)Time elapsed: 0.003 s
% 10.12/2.83 % (1235407)Peak memory usage: 88 MB
% 10.12/2.83 % (1235407)Instructions burned: 1 (million)
% 10.12/2.83 % (1235409)dis-21_1_sil=8000:lcm=predicate:random_seed=2759924936: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)
% 10.12/2.83 % (1235409)Refutation not found, incomplete strategy
% 10.12/2.83 % (1235409)------------------------------
% 10.12/2.83 % (1235409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.83 % (1235409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.83 % (1235409)CaDiCaL version: 2.1.3
% 10.12/2.83 % (1235409)Termination reason: Refutation not found, incomplete strategy
% 10.12/2.83 % (1235409)Time elapsed: 0.002 s
% 10.12/2.83 % (1235409)Peak memory usage: 88 MB
% 10.12/2.83 % (1235409)Instructions burned: 1 (million)
% 10.12/2.83 % (1235403)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=1757996461:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.12/2.83 % (1235404)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3574690255:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.12/2.83 % (1235406)lrs+10_1_sil=8000:sp=occurrence:random_seed=2045634247:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.12/2.83 % (1235405)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=574519960:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.12/2.83 % (1235408)Instruction limit reached!
% 10.12/2.83 % (1235408)------------------------------
% 10.12/2.83 % (1235408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.83 % (1235408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.83 % (1235408)CaDiCaL version: 2.1.3
% 10.12/2.83 % (1235408)Termination reason: Instruction limit
% 10.12/2.83 % (1235408)Termination phase: Saturation
% 10.12/2.83 % (1235408)Time elapsed: 0.087 s
% 10.12/2.83 % (1235408)Peak memory usage: 89 MB
% 10.12/2.83 % (1235408)Instructions burned: 180 (million)
% 10.12/2.83 % (1235406)Instruction limit reached!
% 10.12/2.83 % (1235406)------------------------------
% 10.12/2.83 % (1235406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.83 % (1235406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.83 % (1235406)CaDiCaL version: 2.1.3
% 10.12/2.83 % (1235406)Termination reason: Instruction limit
% 10.12/2.83 % (1235406)Termination phase: Saturation
% 10.12/2.83 % (1235406)Time elapsed: 0.107 s
% 10.12/2.83 % (1235406)Peak memory usage: 89 MB
% 10.12/2.83 % (1235406)Instructions burned: 107 (million)
% 10.12/2.83 % (1235417)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=1255083250:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.12/2.83 % (1235417)Instruction limit reached!
% 10.12/2.83 % (1235417)------------------------------
% 10.12/2.83 % (1235417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.83 % (1235417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.83 % (1235417)CaDiCaL version: 2.1.3
% 10.12/2.83 % (1235417)Termination reason: Instruction limit
% 10.12/2.83 % (1235417)Termination phase: Saturation
% 10.12/2.83 % (1235417)Time elapsed: 0.081 s
% 10.12/2.83 % (1235417)Peak memory usage: 89 MB
% 10.12/2.83 % (1235417)Instructions burned: 144 (million)
% 10.12/2.83 % (1235418)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1101758347:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 10.12/2.83 % (1235409)------------------------------
% 10.12/2.83 % (1235409)------------------------------
% 10.12/2.83 % (1235407)------------------------------
% 10.12/2.83 % (1235407)------------------------------
% 10.12/2.83 % (1235422)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2262920950:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 10.12/2.83 % (1235422)Refutation not found, incomplete strategy
% 10.12/2.83 % (1235422)------------------------------
% 10.12/2.83 % (1235422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.83 % (1235422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.83 % (1235422)CaDiCaL version: 2.1.3
% 10.12/2.83 % (1235422)Termination reason: Refutation not found, incomplete strategy
% 10.12/2.83 % (1235422)Time elapsed: 0.002 s
% 10.12/2.83 % (1235422)Peak memory usage: 88 MB
% 10.12/2.83 % (1235422)Instructions burned: 2 (million)
% 10.12/2.83 % (1235418)Instruction limit reached!
% 10.12/2.83 % (1235418)------------------------------
% 10.12/2.83 % (1235418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.83 % (1235418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.83 % (1235418)CaDiCaL version: 2.1.3
% 10.12/2.83 % (1235418)Termination reason: Instruction limit
% 10.12/2.83 % (1235418)Termination phase: Saturation
% 10.12/2.83 % (1235418)Time elapsed: 0.213 s
% 10.12/2.83 % (1235418)Peak memory usage: 90 MB
% 10.12/2.83 % (1235418)Instructions burned: 190 (million)
% 10.12/2.83 % (1235424)lrs+10_64_to=lpo:sil=8000:random_seed=3222438640:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 10.12/2.83 % (1235425)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=328595566:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 10.12/2.83 % (1235422)------------------------------
% 10.12/2.83 % (1235422)------------------------------
% 10.12/2.83 % (1235424)Instruction limit reached!
% 10.12/2.83 % (1235424)------------------------------
% 10.12/2.83 % (1235424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.83 % (1235424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.83 % (1235424)CaDiCaL version: 2.1.3
% 10.12/2.83 % (1235424)Termination reason: Instruction limit
% 10.12/2.83 % (1235424)Termination phase: Saturation
% 10.12/2.83 % (1235424)Time elapsed: 0.117 s
% 10.12/2.83 % (1235424)Peak memory usage: 88 MB
% 10.12/2.83 % (1235424)Instructions burned: 126 (million)
% 10.12/2.83 % (1235427)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1616804980:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 10.12/2.83 % (1235425)Instruction limit reached!
% 10.12/2.83 % (1235425)------------------------------
% 10.12/2.83 % (1235425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.83 % (1235425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.83 % (1235425)CaDiCaL version: 2.1.3
% 10.12/2.83 % (1235425)Termination reason: Instruction limit
% 10.12/2.83 % (1235425)Termination phase: Saturation
% 10.12/2.83 % (1235425)Time elapsed: 0.194 s
% 10.12/2.83 % (1235425)Peak memory usage: 89 MB
% 10.12/2.83 % (1235425)Instructions burned: 194 (million)
% 10.12/2.83 % (1235430)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3242000407:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 10.12/2.83 % (1235427)Instruction limit reached!
% 10.12/2.83 % (1235427)------------------------------
% 10.12/2.83 % (1235427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.83 % (1235427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.83 % (1235427)CaDiCaL version: 2.1.3
% 10.12/2.83 % (1235427)Termination reason: Instruction limit
% 10.12/2.83 % (1235427)Termination phase: Saturation
% 10.12/2.83 % (1235427)Time elapsed: 0.152 s
% 10.12/2.83 % (1235427)Peak memory usage: 90 MB
% 10.12/2.83 % (1235427)Instructions burned: 157 (million)
% 10.12/2.83 % (1235431)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=1982872576:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 10.12/2.83 % (1235433)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3732866568:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 10.12/2.83 % (1235431)Instruction limit reached!
% 10.12/2.83 % (1235431)------------------------------
% 10.12/2.83 % (1235431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.83 % (1235431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.83 % (1235431)CaDiCaL version: 2.1.3
% 10.12/2.83 % (1235431)Termination reason: Instruction limit
% 10.12/2.83 % (1235431)Termination phase: Saturation
% 10.12/2.83 % (1235431)Time elapsed: 0.101 s
% 10.12/2.83 % (1235431)Peak memory usage: 88 MB
% 10.12/2.83 % (1235431)Instructions burned: 106 (million)
% 10.12/2.83 % (1235435)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3145600458:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 10.12/2.83 % (1235433)Instruction limit reached!
% 10.12/2.83 % (1235433)------------------------------
% 10.12/2.83 % (1235433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.83 % (1235433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.83 % (1235433)CaDiCaL version: 2.1.3
% 10.12/2.83 % (1235433)Termination reason: Instruction limit
% 10.12/2.83 % (1235433)Termination phase: Saturation
% 10.12/2.83 % (1235433)Time elapsed: 0.115 s
% 10.12/2.83 % (1235433)Peak memory usage: 89 MB
% 10.12/2.83 % (1235433)Instructions burned: 107 (million)
% 10.12/2.83 % (1235435)First to succeed.
% 10.12/2.83 % (1235435)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1235390"
% 10.12/2.83 % (1235403)Also succeeded, but the first one will report.
% 10.12/2.83 % (1235438)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1206466190:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 10.12/2.83 % (1235440)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2915801208:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 10.12/2.83 % (1235404)Also succeeded, but the first one will report.
% 10.12/2.83 % (1235430)Also succeeded, but the first one will report.
% 10.12/2.83 % (1235440)Instruction limit reached!
% 10.12/2.83 % (1235440)------------------------------
% 10.12/2.83 % (1235440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.83 % (1235440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.83 % (1235440)CaDiCaL version: 2.1.3
% 10.12/2.83 % (1235440)Termination reason: Instruction limit
% 10.12/2.83 % (1235440)Termination phase: Saturation
% 10.12/2.83 % (1235440)Time elapsed: 0.142 s
% 10.12/2.83 % (1235440)Peak memory usage: 90 MB
% 10.12/2.83 % (1235440)Instructions burned: 134 (million)
% 10.12/2.83 % (1235435)Refutation found. Thanks to Tanya!
% 10.12/2.83 % SZS status Unsatisfiable for theBenchmark
% 10.12/2.83 % SZS output start Proof for theBenchmark
% See solution above
% 13.51/3.10 % (1235435)------------------------------
% 13.51/3.10 % (1235435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.51/3.10 % (1235435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.51/3.10 % (1235435)CaDiCaL version: 2.1.3
% 13.51/3.10 % (1235435)Termination reason: Refutation
% 13.51/3.10 % (1235435)Time elapsed: 0.078 s
% 13.51/3.10 % (1235435)Peak memory usage: 89 MB
% 13.51/3.10 % (1235435)Instructions burned: 81 (million)
% 13.51/3.10 % (1235435)------------------------------
% 13.51/3.10 % (1235435)------------------------------
% 13.51/3.10 % (1235390)Success in time 1.792 s
% 13.51/3.10 % Vampire exiting
%------------------------------------------------------------------------------