%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU427+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:48:57 PM UTC 2026
% Result : Theorem 3.16s 1.80s
% Output : Refutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 22 unt; 1 def)
% Number of atoms : 108 ( 46 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 106 ( 45 ~; 33 |; 14 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-4 aty)
% Number of variables : 77 ( 67 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71,axiom,
! [X0] : r1_tarski(k1_xboole_0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f81,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k2_xboole_0(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f281,axiom,
! [X0,X1] : k3_tarski(k2_tarski(X0,X1)) = k2_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t93_zfmisc_1) ).
fof(f433,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(f3221,axiom,
! [X0,X1] : k2_relat_1(k10_finseq_1(X0,X1)) = k2_tarski(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t147_finseq_2) ).
fof(f4368,axiom,
! [X0] : k3_pua2mss1(X0) = k8_eqrel_1(X0,k6_partfun1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_pua2mss1) ).
fof(f4495,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)) = k1_xboole_0
<=> X2 = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_relset_2) ).
fof(f4498,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X4),k3_pua2mss1(X2)) = k1_xboole_0
=> k8_relset_2(X0,X1,k4_subset_1(X0,X2,X3),X4) = k8_relset_2(X0,X1,X3,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_relset_2) ).
fof(f4499,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X4),k3_pua2mss1(X2)) = k1_xboole_0
=> k8_relset_2(X0,X1,k4_subset_1(X0,X2,X3),X4) = k8_relset_2(X0,X1,X3,X4) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4498]) ).
fof(f4552,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( k8_relset_2(X0,X1,X3,X4) != k8_relset_2(X0,X1,k4_subset_1(X0,X2,X3),X4)
& k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X4),k3_pua2mss1(X2)) = k1_xboole_0
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(X0)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f4499]) ).
fof(f4553,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( k8_relset_2(X0,X1,X3,X4) != k8_relset_2(X0,X1,k4_subset_1(X0,X2,X3),X4)
& k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X4),k3_pua2mss1(X2)) = k1_xboole_0
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(X0)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f4552]) ).
fof(f4741,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f433]) ).
fof(f4742,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f4741]) ).
fof(f4758,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)) = k1_xboole_0
<=> X2 = k1_xboole_0 )
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f4495]) ).
fof(f4876,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) = X1
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f5922,plain,
( k8_relset_2(sK12,sK13,sK15,sK16) != k8_relset_2(sK12,sK13,k4_subset_1(sK12,sK14,sK15),sK16)
& k1_xboole_0 = k4_relset_2(k1_zfmisc_1(sK12),sK13,k6_relset_2(sK13,sK12,sK16),k3_pua2mss1(sK14))
& m1_subset_1(sK16,k1_zfmisc_1(k2_zfmisc_1(sK12,sK13)))
& m1_subset_1(sK15,k1_zfmisc_1(sK12))
& m1_subset_1(sK14,k1_zfmisc_1(sK12)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14),skolemize(X3,sK15),skolemize(X4,sK16)],[f4553]) ).
fof(f6006,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( ( k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)) = k1_xboole_0
| k1_xboole_0 != X2 )
& ( X2 = k1_xboole_0
| k1_xboole_0 != k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f4758]) ).
fof(f6393,plain,
m1_subset_1(sK14,k1_zfmisc_1(sK12)),
inference(cnf_transformation,[],[f5922]) ).
fof(f6394,plain,
m1_subset_1(sK15,k1_zfmisc_1(sK12)),
inference(cnf_transformation,[],[f5922]) ).
fof(f6395,plain,
m1_subset_1(sK16,k1_zfmisc_1(k2_zfmisc_1(sK12,sK13))),
inference(cnf_transformation,[],[f5922]) ).
fof(f6396,plain,
k1_xboole_0 = k4_relset_2(k1_zfmisc_1(sK12),sK13,k6_relset_2(sK13,sK12,sK16),k3_pua2mss1(sK14)),
inference(cnf_transformation,[],[f5922]) ).
fof(f6397,plain,
k8_relset_2(sK12,sK13,sK15,sK16) != k8_relset_2(sK12,sK13,k4_subset_1(sK12,sK14,sK15),sK16),
inference(cnf_transformation,[],[f5922]) ).
fof(f6536,plain,
! [X0] : r1_tarski(k1_xboole_0,X0),
inference(cnf_transformation,[],[f71]) ).
fof(f6728,plain,
! [X2,X0,X1] :
( k2_xboole_0(X1,X2) = k4_subset_1(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f4742]) ).
fof(f6743,plain,
! [X2,X3,X0,X1] :
( k1_xboole_0 = X2
| k1_xboole_0 != k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f6006]) ).
fof(f6760,plain,
! [X0] : k3_pua2mss1(X0) = k8_eqrel_1(X0,k6_partfun1(X0)),
inference(cnf_transformation,[],[f4368]) ).
fof(f6879,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) = X1
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f4876]) ).
fof(f7583,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k3_tarski(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f281]) ).
fof(f7894,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_relat_1(k10_finseq_1(X0,X1)),
inference(cnf_transformation,[],[f3221]) ).
fof(f8311,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k3_tarski(k2_relat_1(k10_finseq_1(X0,X1))),
inference(definition_unfolding,[],[f7583,f7894]) ).
fof(f8315,plain,
k1_xboole_0 = k4_relset_2(k1_zfmisc_1(sK12),sK13,k6_relset_2(sK13,sK12,sK16),k8_eqrel_1(sK14,k6_partfun1(sK14))),
inference(definition_unfolding,[],[f6396,f6760]) ).
fof(f8406,plain,
! [X2,X0,X1] :
( k4_subset_1(X0,X1,X2) = k3_tarski(k2_relat_1(k10_finseq_1(X1,X2)))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(definition_unfolding,[],[f6728,f8311]) ).
fof(f8408,plain,
! [X2,X3,X0,X1] :
( k1_xboole_0 != k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k8_eqrel_1(X2,k6_partfun1(X2)))
| k1_xboole_0 = X2
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(definition_unfolding,[],[f6743,f6760]) ).
fof(f8457,plain,
! [X0,X1] :
( k3_tarski(k2_relat_1(k10_finseq_1(X0,X1))) = X1
| ~ r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f6879,f8311]) ).
fof(f8922,definition,
~ sP289(k8_relset_2(sK12,sK13,k4_subset_1(sK12,sK14,sK15),sK16)),
introduced(definition,[new_symbols(definition,[sP289])],[inequality_splitting_name_introduction]) ).
fof(f8923,plain,
sP289(k8_relset_2(sK12,sK13,sK15,sK16)),
inference(inequality_splitting,[],[f6397,f8922]) ).
fof(f9227,plain,
( ~ sP289(k8_relset_2(sK12,sK13,k3_tarski(k2_relat_1(k10_finseq_1(sK14,sK15))),sK16))
| ~ m1_subset_1(sK14,k1_zfmisc_1(sK12))
| ~ m1_subset_1(sK15,k1_zfmisc_1(sK12)) ),
inference(superposition,[],[f8922,f8406]) ).
fof(f9228,plain,
( ~ sP289(k8_relset_2(sK12,sK13,k3_tarski(k2_relat_1(k10_finseq_1(sK14,sK15))),sK16))
| ~ m1_subset_1(sK15,k1_zfmisc_1(sK12)) ),
inference(forward_subsumption_resolution,[],[f9227,f6393]) ).
fof(f9229,plain,
~ sP289(k8_relset_2(sK12,sK13,k3_tarski(k2_relat_1(k10_finseq_1(sK14,sK15))),sK16)),
inference(forward_subsumption_resolution,[],[f9228,f6394]) ).
fof(f9236,plain,
( k1_xboole_0 != k1_xboole_0
| k1_xboole_0 = sK14
| ~ m1_subset_1(sK16,k1_zfmisc_1(k2_zfmisc_1(sK12,sK13)))
| ~ m1_subset_1(sK14,k1_zfmisc_1(sK12)) ),
inference(superposition,[],[f8408,f8315]) ).
fof(f9239,plain,
( k1_xboole_0 = sK14
| ~ m1_subset_1(sK16,k1_zfmisc_1(k2_zfmisc_1(sK12,sK13)))
| ~ m1_subset_1(sK14,k1_zfmisc_1(sK12)) ),
inference(trivial_inequality_removal,[],[f9236]) ).
fof(f9249,plain,
( k1_xboole_0 = sK14
| ~ m1_subset_1(sK14,k1_zfmisc_1(sK12)) ),
inference(forward_subsumption_resolution,[],[f9239,f6395]) ).
fof(f9252,plain,
k1_xboole_0 = sK14,
inference(forward_subsumption_resolution,[],[f9249,f6393]) ).
fof(f9959,plain,
( ~ sP289(k8_relset_2(sK12,sK13,sK15,sK16))
| ~ r1_tarski(sK14,sK15) ),
inference(superposition,[],[f9229,f8457]) ).
fof(f9970,plain,
~ r1_tarski(sK14,sK15),
inference(forward_subsumption_resolution,[],[f9959,f8923]) ).
fof(f9980,plain,
~ r1_tarski(k1_xboole_0,sK15),
inference(forward_demodulation,[],[f9970,f9252]) ).
fof(f9996,plain,
$false,
inference(forward_subsumption_resolution,[],[f9980,f6536]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU427+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n020.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 05:22:50 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.16/1.80 % (4054035)Detected formulas, will run a generic FOF schedule.
% 3.16/1.80 % (4054044)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2495771972:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 3.16/1.80 % (4054040)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=3393418412:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 3.16/1.80 % (4054043)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2963178399:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 3.16/1.80 % (4054046)dis-21_1_sil=8000:lcm=predicate:random_seed=3870484481:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 3.16/1.80 % (4054045)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3990772498:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 3.16/1.80 % (4054042)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=2225052781:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 3.16/1.80 % (4054041)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=2605821950:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 3.16/1.80 % (4054044)Instruction limit reached!
% 3.16/1.80 % (4054044)------------------------------
% 3.16/1.80 % (4054044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.80 % (4054044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.80 % (4054044)CaDiCaL version: 2.1.3
% 3.16/1.80 % (4054044)Termination reason: Instruction limit
% 3.16/1.80 % (4054044)Termination phase: Saturation
% 3.16/1.80 % (4054044)Time elapsed: 0.042 s
% 3.16/1.80 % (4054044)Peak memory usage: 94 MB
% 3.16/1.80 % (4054044)Instructions burned: 119 (million)
% 3.16/1.80 % (4054043)Instruction limit reached!
% 3.16/1.80 % (4054043)------------------------------
% 3.16/1.80 % (4054043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.80 % (4054043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.80 % (4054043)CaDiCaL version: 2.1.3
% 3.16/1.80 % (4054043)Termination reason: Instruction limit
% 3.16/1.80 % (4054043)Termination phase: Saturation
% 3.16/1.80 % (4054043)Time elapsed: 0.076 s
% 3.16/1.80 % (4054043)Peak memory usage: 94 MB
% 3.16/1.80 % (4054043)Instructions burned: 109 (million)
% 3.16/1.80 % (4054045)Instruction limit reached!
% 3.16/1.80 % (4054045)------------------------------
% 3.16/1.80 % (4054045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.80 % (4054045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.80 % (4054045)CaDiCaL version: 2.1.3
% 3.16/1.80 % (4054045)Termination reason: Instruction limit
% 3.16/1.80 % (4054045)Termination phase: Preprocessing 3
% 3.16/1.80 % (4054045)Time elapsed: 0.088 s
% 3.16/1.80 % (4054045)Peak memory usage: 94 MB
% 3.16/1.80 % (4054045)Instructions burned: 140 (million)
% 3.16/1.80 % (4054046)Instruction limit reached!
% 3.16/1.80 % (4054046)------------------------------
% 3.16/1.80 % (4054046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.80 % (4054046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.80 % (4054046)CaDiCaL version: 2.1.3
% 3.16/1.80 % (4054046)Termination reason: Instruction limit
% 3.16/1.80 % (4054046)Termination phase: Clausification
% 3.16/1.80 % (4054046)Time elapsed: 0.090 s
% 3.16/1.80 % (4054046)Peak memory usage: 94 MB
% 3.16/1.80 % (4054046)Instructions burned: 129 (million)
% 3.16/1.80 % (4054054)lrs+10_1_sil=8000:sp=occurrence:random_seed=182562590:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.16/1.80 % (4054055)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2644283080:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 3.16/1.80 % (4054056)lrs+1011_1_sil=32000:sp=occurrence:random_seed=535023002:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 3.16/1.80 % (4054057)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=997816151:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.16/1.80 % (4054054)Instruction limit reached!
% 3.16/1.80 % (4054054)------------------------------
% 3.16/1.80 % (4054054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.80 % (4054054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.80 % (4054054)CaDiCaL version: 2.1.3
% 3.16/1.80 % (4054054)Termination reason: Instruction limit
% 3.16/1.80 % (4054054)Termination phase: Saturation
% 3.16/1.80 % (4054054)Time elapsed: 0.103 s
% 3.16/1.80 % (4054054)Peak memory usage: 98 MB
% 3.16/1.80 % (4054054)Instructions burned: 286 (million)
% 3.16/1.80 % (4054055)Instruction limit reached!
% 3.16/1.80 % (4054055)------------------------------
% 3.16/1.80 % (4054055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.80 % (4054055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.80 % (4054055)CaDiCaL version: 2.1.3
% 3.16/1.80 % (4054055)Termination reason: Instruction limit
% 3.16/1.80 % (4054055)Termination phase: Saturation
% 3.16/1.80 % (4054055)Time elapsed: 0.087 s
% 3.16/1.80 % (4054055)Peak memory usage: 94 MB
% 3.16/1.80 % (4054055)Instructions burned: 158 (million)
% 3.16/1.80 % (4054062)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1507893248:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 3.16/1.80 % (4054057)Instruction limit reached!
% 3.16/1.80 % (4054057)------------------------------
% 3.16/1.80 % (4054057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.80 % (4054057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.80 % (4054057)CaDiCaL version: 2.1.3
% 3.16/1.80 % (4054057)Termination reason: Instruction limit
% 3.16/1.80 % (4054057)Termination phase: Property scanning
% 3.16/1.80 % (4054057)Time elapsed: 0.145 s
% 3.16/1.80 % (4054057)Peak memory usage: 98 MB
% 3.16/1.80 % (4054057)Instructions burned: 250 (million)
% 3.16/1.80 % (4054062)First to succeed.
% 3.16/1.80 % (4054062)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4054035"
% 3.16/1.80 % (4054063)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3496757335:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 3.16/1.80 % (4054056)Instruction limit reached!
% 3.16/1.80 % (4054056)------------------------------
% 3.16/1.80 % (4054056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.80 % (4054056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.80 % (4054056)CaDiCaL version: 2.1.3
% 3.16/1.80 % (4054056)Termination reason: Instruction limit
% 3.16/1.80 % (4054056)Termination phase: Saturation
% 3.16/1.80 % (4054056)Time elapsed: 0.223 s
% 3.16/1.80 % (4054056)Peak memory usage: 96 MB
% 3.16/1.80 % (4054056)Instructions burned: 326 (million)
% 3.16/1.80 % (4054065)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=609683331:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 3.16/1.80 % (4054062)Refutation found. Thanks to Tanya!
% 3.16/1.80 % SZS status Theorem for theBenchmark
% 3.16/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 6.23/2.00 % (4054062)------------------------------
% 6.23/2.00 % (4054062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.00 % (4054062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.00 % (4054062)CaDiCaL version: 2.1.3
% 6.23/2.00 % (4054062)Termination reason: Refutation
% 6.23/2.00 % (4054062)Time elapsed: 0.063 s
% 6.23/2.00 % (4054062)Peak memory usage: 97 MB
% 6.23/2.00 % (4054062)Instructions burned: 191 (million)
% 6.23/2.00 % (4054062)------------------------------
% 6.23/2.00 % (4054062)------------------------------
% 6.23/2.00 % (4054035)Success in time 0.945 s
% 6.23/2.00 % Vampire exiting
%------------------------------------------------------------------------------