%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE024+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:40:06 AM UTC 2026
% Result : Theorem 8.08s 2.11s
% Output : Refutation 8.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 20 unt; 0 def)
% Number of atoms : 80 ( 50 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 68 ( 23 ~; 17 |; 20 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 52 ( 46 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f19,conjecture,
! [X0,X1,X2] :
( ( test(X1)
& test(X2) )
=> ( addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),X0)
=> multiplication(multiplication(X1,X0),c(X2)) = zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2] :
( ( test(X1)
& test(X2) )
=> ( addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),X0)
=> multiplication(multiplication(X1,X0),c(X2)) = zero ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
? [X0,X1,X2] :
( zero != multiplication(multiplication(X1,X0),c(X2))
& addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),X0)
& test(X1)
& test(X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
? [X0,X1,X2] :
( zero != multiplication(multiplication(X1,X0),c(X2))
& addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),X0)
& test(X1)
& test(X2) ),
inference(flattening,[],[f21]) ).
fof(f28,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f29,plain,
( zero != multiplication(multiplication(sK1,sK0),c(sK2))
& multiplication(c(sK1),sK0) = addition(multiplication(sK0,c(sK2)),multiplication(c(sK1),sK0))
& test(sK1)
& test(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f22]) ).
fof(f30,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f31,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f28]) ).
fof(f37,plain,
test(sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f38,plain,
multiplication(c(sK1),sK0) = addition(multiplication(sK0,c(sK2)),multiplication(c(sK1),sK0)),
inference(cnf_transformation,[],[f29]) ).
fof(f39,plain,
zero != multiplication(multiplication(sK1,sK0),c(sK2)),
inference(cnf_transformation,[],[f29]) ).
fof(f41,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f47,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f50,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f52,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f55,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f59,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f62,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f55]) ).
fof(f63,plain,
zero != multiplication(sK1,multiplication(sK0,c(sK2))),
inference(forward_demodulation,[],[f39,f59]) ).
fof(f101,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,c(X0)) ),
inference(resolution,[],[f47,f62]) ).
fof(f104,plain,
zero = multiplication(sK1,c(sK1)),
inference(resolution,[],[f101,f37]) ).
fof(f109,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK1,multiplication(c(sK1),X0)),
inference(superposition,[],[f59,f104]) ).
fof(f110,plain,
! [X0] : zero = multiplication(sK1,multiplication(c(sK1),X0)),
inference(forward_demodulation,[],[f109,f50]) ).
fof(f136,plain,
! [X0,X1] : addition(multiplication(sK1,X0),zero) = multiplication(sK1,addition(X0,multiplication(c(sK1),X1))),
inference(superposition,[],[f41,f110]) ).
fof(f141,plain,
! [X0,X1] : multiplication(sK1,X0) = multiplication(sK1,addition(X0,multiplication(c(sK1),X1))),
inference(forward_demodulation,[],[f136,f52]) ).
fof(f147,plain,
multiplication(sK1,multiplication(sK0,c(sK2))) = multiplication(sK1,multiplication(c(sK1),sK0)),
inference(superposition,[],[f141,f38]) ).
fof(f160,plain,
zero = multiplication(sK1,multiplication(sK0,c(sK2))),
inference(forward_demodulation,[],[f147,f110]) ).
fof(f162,plain,
$false,
inference(forward_subsumption_resolution,[],[f160,f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE024+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:08:17 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 5.62/1.92 % (2622917)Detected formulas, will run a generic FOF schedule.
% 5.62/1.92 % (2622926)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1887102477:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.62/1.92 % (2622926)Instruction limit reached!
% 5.62/1.92 % (2622926)------------------------------
% 5.62/1.92 % (2622926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.92 % (2622926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.92 % (2622926)CaDiCaL version: 2.1.3
% 5.62/1.92 % (2622926)Termination reason: Instruction limit
% 5.62/1.92 % (2622926)Termination phase: Saturation
% 5.62/1.92 % (2622926)Time elapsed: 0.037 s
% 5.62/1.92 % (2622926)Peak memory usage: 89 MB
% 5.62/1.92 % (2622926)Instructions burned: 120 (million)
% 5.62/1.92 % (2622928)dis-21_1_sil=8000:lcm=predicate:random_seed=1316577388:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.62/1.92 % (2622923)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1530958748:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.62/1.92 % (2622925)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1547293945:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.62/1.92 % (2622924)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=715610921:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.62/1.92 % (2622922)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=722288094:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.62/1.92 % (2622927)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=653941365:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.62/1.92 % (2622928)Refutation not found, incomplete strategy
% 5.62/1.92 % (2622928)------------------------------
% 5.62/1.92 % (2622928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.92 % (2622928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.92 % (2622928)CaDiCaL version: 2.1.3
% 5.62/1.92 % (2622928)Termination reason: Refutation not found, incomplete strategy
% 5.62/1.92 % (2622928)Time elapsed: 0.002 s
% 5.62/1.92 % (2622928)Peak memory usage: 88 MB
% 5.62/1.92 % (2622928)Instructions burned: 2 (million)
% 5.62/1.92 % (2622925)Instruction limit reached!
% 5.62/1.92 % (2622925)------------------------------
% 5.62/1.92 % (2622925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.92 % (2622925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.92 % (2622925)CaDiCaL version: 2.1.3
% 5.62/1.92 % (2622925)Termination reason: Instruction limit
% 5.62/1.92 % (2622925)Termination phase: Saturation
% 5.62/1.92 % (2622925)Time elapsed: 0.070 s
% 5.62/1.92 % (2622925)Peak memory usage: 89 MB
% 5.62/1.92 % (2622925)Instructions burned: 111 (million)
% 5.62/1.92 % (2622927)Instruction limit reached!
% 5.62/1.92 % (2622927)------------------------------
% 5.62/1.92 % (2622927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.92 % (2622927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.92 % (2622927)CaDiCaL version: 2.1.3
% 5.62/1.92 % (2622927)Termination reason: Instruction limit
% 5.62/1.92 % (2622927)Termination phase: Saturation
% 5.62/1.92 % (2622927)Time elapsed: 0.084 s
% 5.62/1.92 % (2622927)Peak memory usage: 90 MB
% 5.62/1.92 % (2622927)Instructions burned: 140 (million)
% 5.62/1.92 % (2622930)lrs+10_1_sil=8000:sp=occurrence:random_seed=3122876636:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.62/1.92 % (2622930)Instruction limit reached!
% 5.62/1.92 % (2622930)------------------------------
% 5.62/1.92 % (2622930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.92 % (2622930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.92 % (2622930)CaDiCaL version: 2.1.3
% 5.62/1.92 % (2622930)Termination reason: Instruction limit
% 5.62/1.92 % (2622930)Termination phase: Saturation
% 5.62/1.92 % (2622930)Time elapsed: 0.097 s
% 5.62/1.92 % (2622930)Peak memory usage: 92 MB
% 5.62/1.92 % (2622930)Instructions burned: 288 (million)
% 5.62/1.92 % (2622938)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4237303025:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.62/1.92 % (2622937)lrs+10_1_sil=32000:urr=on:br=off:random_seed=218050352:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.62/1.92 % (2622928)------------------------------
% 5.62/1.92 % (2622928)------------------------------
% 5.62/1.92 % (2622940)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2492234402:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.62/1.92 % (2622937)Instruction limit reached!
% 5.62/1.92 % (2622937)------------------------------
% 5.62/1.92 % (2622937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.92 % (2622937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.92 % (2622937)CaDiCaL version: 2.1.3
% 5.62/1.92 % (2622937)Termination reason: Instruction limit
% 5.62/1.92 % (2622937)Termination phase: Saturation
% 5.62/1.92 % (2622937)Time elapsed: 0.101 s
% 5.62/1.92 % (2622937)Peak memory usage: 90 MB
% 5.62/1.92 % (2622937)Instructions burned: 158 (million)
% 5.62/1.92 % (2622943)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=404686505:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.62/1.92 % (2622940)Instruction limit reached!
% 5.62/1.92 % (2622940)------------------------------
% 5.62/1.92 % (2622940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.92 % (2622940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.92 % (2622940)CaDiCaL version: 2.1.3
% 5.62/1.92 % (2622940)Termination reason: Instruction limit
% 5.62/1.92 % (2622940)Termination phase: Saturation
% 5.62/1.92 % (2622940)Time elapsed: 0.083 s
% 5.62/1.92 % (2622940)Peak memory usage: 92 MB
% 5.62/1.92 % (2622940)Instructions burned: 248 (million)
% 5.62/1.92 % (2622938)Instruction limit reached!
% 5.62/1.92 % (2622938)------------------------------
% 5.62/1.92 % (2622938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.92 % (2622938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.92 % (2622938)CaDiCaL version: 2.1.3
% 5.62/1.92 % (2622938)Termination reason: Instruction limit
% 5.62/1.92 % (2622938)Termination phase: Saturation
% 5.62/1.92 % (2622938)Time elapsed: 0.202 s
% 5.62/1.92 % (2622938)Peak memory usage: 91 MB
% 5.62/1.92 % (2622938)Instructions burned: 325 (million)
% 5.62/1.92 % (2622945)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2424176511:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.62/1.92 % (2622947)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1133269344:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.62/1.92 % (2622947)Instruction limit reached!
% 5.62/1.92 % (2622947)------------------------------
% 5.62/1.92 % (2622947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.92 % (2622947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.92 % (2622947)CaDiCaL version: 2.1.3
% 5.62/1.92 % (2622947)Termination reason: Instruction limit
% 5.62/1.92 % (2622947)Termination phase: Saturation
% 5.62/1.92 % (2622947)Time elapsed: 0.040 s
% 5.62/1.92 % (2622947)Peak memory usage: 90 MB
% 5.62/1.92 % (2622947)Instructions burned: 113 (million)
% 5.62/1.92 % (2622948)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2679221588:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.62/1.92 % (2622943)Instruction limit reached!
% 5.62/1.92 % (2622943)------------------------------
% 5.62/1.92 % (2622943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.92 % (2622943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.92 % (2622943)CaDiCaL version: 2.1.3
% 5.62/1.92 % (2622943)Termination reason: Instruction limit
% 5.62/1.92 % (2622943)Termination phase: Saturation
% 5.62/1.92 % (2622943)Time elapsed: 0.188 s
% 5.62/1.92 % (2622943)Peak memory usage: 90 MB
% 5.62/1.92 % (2622943)Instructions burned: 296 (million)
% 5.62/1.92 % (2622923)First to succeed.
% 5.62/1.92 % (2622923)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2622917"
% 5.62/1.92 % (2622948)Instruction limit reached!
% 5.62/1.92 % (2622948)------------------------------
% 5.62/1.92 % (2622948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.11 % (2622948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.11 % (2622948)CaDiCaL version: 2.1.3
% 8.08/2.11 % (2622948)Termination reason: Instruction limit
% 8.08/2.11 % (2622948)Termination phase: Saturation
% 8.08/2.11 % (2622948)Time elapsed: 0.053 s
% 8.08/2.11 % (2622948)Peak memory usage: 88 MB
% 8.08/2.11 % (2622948)Instructions burned: 128 (million)
% 8.08/2.11 % (2622951)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2652647516:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.08/2.11 % (2622951)Instruction limit reached!
% 8.08/2.11 % (2622951)------------------------------
% 8.08/2.11 % (2622951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.11 % (2622951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.11 % (2622951)CaDiCaL version: 2.1.3
% 8.08/2.11 % (2622951)Termination reason: Instruction limit
% 8.08/2.11 % (2622951)Termination phase: Saturation
% 8.08/2.11 % (2622951)Time elapsed: 0.035 s
% 8.08/2.11 % (2622951)Peak memory usage: 89 MB
% 8.08/2.11 % (2622951)Instructions burned: 115 (million)
% 8.08/2.11 % (2622953)lrs+10_1_sil=8000:sp=occurrence:random_seed=1931147445:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.08/2.11 % (2622954)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=272907425:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.08/2.11 % (2622956)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3214932975:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.08/2.11 % (2622922)Also succeeded, but the first one will report.
% 8.08/2.11 % (2622923)Refutation found. Thanks to Tanya!
% 8.08/2.11 % SZS status Theorem for theBenchmark
% 8.08/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 8.08/2.11 % (2622923)------------------------------
% 8.08/2.11 % (2622923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.11 % (2622923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.11 % (2622923)CaDiCaL version: 2.1.3
% 8.08/2.11 % (2622923)Termination reason: Refutation
% 8.08/2.11 % (2622923)Time elapsed: 0.630 s
% 8.08/2.11 % (2622923)Peak memory usage: 126 MB
% 8.08/2.11 % (2622923)Instructions burned: 931 (million)
% 8.08/2.11 % (2622923)------------------------------
% 8.08/2.11 % (2622923)------------------------------
% 8.08/2.11 % (2622917)Success in time 1.064 s
% 8.08/2.11 % Vampire exiting
%------------------------------------------------------------------------------