%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL144-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 11:51:20 AM UTC 2026
% Result : Unsatisfiable 15.04s 3.27s
% Output : Refutation 15.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 29 unt; 4 def)
% Number of atoms : 97 ( 31 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 66 ( 31 ~; 33 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f2,axiom,
! [X2,X0,X1] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f3,plain,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f10,axiom,
! [X0,X1] :
( ~ ordered(X0,X1)
| implies(X0,X1) = truth ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partial_order_definition1) ).
fof(f11,plain,
! [X0,X1] :
( ~ ordered(X0,X1)
| truth = implies(X0,X1) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0,X1] :
( implies(X0,X1) != truth
| ordered(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partial_order_definition2) ).
fof(f13,plain,
! [X0,X1] :
( truth != implies(X0,X1)
| ordered(X0,X1) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( ordered(x,implies(y,z))
| ordered(y,implies(x,z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antecedent) ).
fof(f15,negated_conjecture,
( ~ ordered(x,implies(y,z))
| ~ ordered(y,implies(x,z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_theorem) ).
fof(f17,definition,
sF0 = implies(y,z),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f18,plain,
implies(y,z) = sF0,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF1 = implies(x,z),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f20,plain,
implies(x,z) = sF1,
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
( ordered(x,sF0)
| ordered(y,sF1) ),
inference(definition_folding,[],[f14,f20,f18]) ).
fof(f22,plain,
( ~ ordered(x,sF0)
| ~ ordered(y,sF1) ),
inference(definition_folding,[],[f15,f20,f18]) ).
fof(f24,definition,
( spl2_1
<=> ordered(y,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f25,plain,
( ordered(y,sF1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f26,plain,
( ~ ordered(y,sF1)
| spl2_1 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f28,definition,
( spl2_2
<=> ordered(x,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f29,plain,
( ordered(x,sF0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f30,plain,
( ~ ordered(x,sF0)
| spl2_2 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f31,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f22,f28,f24]) ).
fof(f32,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f21,f28,f24]) ).
fof(f55,plain,
! [X2,X3,X0,X1] : truth = implies(truth,implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3))),
inference(superposition,[],[f3,f3]) ).
fof(f63,plain,
! [X2,X0,X1] :
( truth != truth
| ordered(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[],[f13,f3]) ).
fof(f64,plain,
! [X2,X0,X1] : ordered(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
inference(trivial_inequality_removal,[],[f63]) ).
fof(f66,plain,
! [X2,X3,X0,X1] : truth = implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3)),
inference(forward_demodulation,[],[f55,f1]) ).
fof(f69,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
inference(superposition,[],[f3,f1]) ).
fof(f71,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
inference(forward_demodulation,[],[f69,f1]) ).
fof(f85,plain,
! [X0,X1] : ordered(implies(truth,X1),implies(implies(X1,X0),X0)),
inference(superposition,[],[f64,f1]) ).
fof(f87,plain,
! [X0,X1] : ordered(X1,implies(implies(X1,X0),X0)),
inference(forward_demodulation,[],[f85,f1]) ).
fof(f124,plain,
! [X2,X0,X1] : truth = implies(truth,implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(superposition,[],[f3,f71]) ).
fof(f138,plain,
! [X2,X0,X1] : truth = implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)),
inference(forward_demodulation,[],[f124,f1]) ).
fof(f162,plain,
( truth = implies(x,sF0)
| ~ spl2_2 ),
inference(resolution,[],[f29,f11]) ).
fof(f2363,plain,
! [X2,X0,X1] : truth = implies(truth,implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1)))),
inference(superposition,[],[f66,f138]) ).
fof(f2365,plain,
! [X2,X0,X1] : truth = implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1))),
inference(forward_demodulation,[],[f2363,f1]) ).
fof(f2576,plain,
! [X2,X0,X1] : implies(truth,implies(X0,implies(X1,X2))) = implies(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))),implies(X1,implies(X0,X2))),
inference(superposition,[],[f4,f2365]) ).
fof(f2619,plain,
! [X2,X0,X1] : implies(truth,implies(X0,implies(X1,X2))) = implies(truth,implies(X1,implies(X0,X2))),
inference(forward_demodulation,[],[f2576,f2365]) ).
fof(f2705,plain,
! [X2,X0,X1] : implies(truth,implies(X0,implies(X1,X2))) = implies(X1,implies(X0,X2)),
inference(forward_demodulation,[],[f2619,f1]) ).
fof(f2733,plain,
! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(X1,implies(X0,X2)),
inference(forward_demodulation,[],[f2705,f1]) ).
fof(f2825,plain,
! [X0] : implies(X0,sF1) = implies(x,implies(X0,z)),
inference(superposition,[],[f2733,f20]) ).
fof(f3128,plain,
implies(x,sF0) = implies(y,sF1),
inference(superposition,[],[f2825,f18]) ).
fof(f3201,plain,
( truth = implies(y,sF1)
| ~ spl2_2 ),
inference(forward_demodulation,[],[f3128,f162]) ).
fof(f3219,plain,
( ordered(y,implies(truth,sF1))
| ~ spl2_2 ),
inference(superposition,[],[f87,f3201]) ).
fof(f3246,plain,
( ordered(y,sF1)
| ~ spl2_2 ),
inference(forward_demodulation,[],[f3219,f1]) ).
fof(f3264,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f3246,f26]) ).
fof(f3265,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f3264]) ).
fof(f3269,plain,
( truth = implies(y,sF1)
| ~ spl2_1 ),
inference(resolution,[],[f25,f11]) ).
fof(f3270,plain,
( truth = implies(x,sF0)
| ~ spl2_1 ),
inference(forward_demodulation,[],[f3269,f3128]) ).
fof(f3287,plain,
( ordered(x,implies(truth,sF0))
| ~ spl2_1 ),
inference(superposition,[],[f87,f3270]) ).
fof(f3314,plain,
( ordered(x,sF0)
| ~ spl2_1 ),
inference(forward_demodulation,[],[f3287,f1]) ).
fof(f3332,plain,
( $false
| ~ spl2_1
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f3314,f30]) ).
fof(f3333,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_contradiction_clause,[],[f3332]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f31]) ).
cnf(s2,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f32]) ).
cnf(s6,plain,
( spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f3265]) ).
cnf(s8,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f3333]) ).
cnf(s9,plain,
spl2_1,
inference(rat,[],[s2,s6]) ).
cnf(s10,plain,
spl2_2,
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s10,s9]) ).
fof(f3337,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL144-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n019.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 15:23:48 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 10.73/3.07 % (3198801)Input is clausal, will run a generic CNF schedule.
% 10.73/3.07 % (3198809)lrs+10_1_sil=8000:sp=occurrence:random_seed=4149763517:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.73/3.07 % (3198811)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=978081799:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.73/3.07 % (3198810)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3631643280:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.73/3.07 % (3198806)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=478010048:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.73/3.07 % (3198808)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3266140502:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.73/3.07 % (3198807)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1415193265:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.73/3.07 % (3198812)dis-21_1_sil=8000:lcm=predicate:random_seed=3072392172: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)
% 10.73/3.07 % (3198812)Refutation not found, incomplete strategy
% 10.73/3.07 % (3198812)------------------------------
% 10.73/3.07 % (3198812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/3.07 % (3198812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/3.07 % (3198812)CaDiCaL version: 2.1.3
% 10.73/3.07 % (3198812)Termination reason: Refutation not found, incomplete strategy
% 10.73/3.07 % (3198812)Time elapsed: 0.002 s
% 10.73/3.07 % (3198812)Peak memory usage: 88 MB
% 10.73/3.07 % (3198809)Instruction limit reached!
% 10.73/3.07 % (3198809)------------------------------
% 10.73/3.07 % (3198809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/3.07 % (3198809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/3.07 % (3198809)CaDiCaL version: 2.1.3
% 10.73/3.07 % (3198809)Termination reason: Instruction limit
% 10.73/3.07 % (3198809)Termination phase: Saturation
% 10.73/3.07 % (3198809)Time elapsed: 0.057 s
% 10.73/3.07 % (3198809)Peak memory usage: 90 MB
% 10.73/3.07 % (3198809)Instructions burned: 109 (million)
% 10.73/3.07 % (3198810)Instruction limit reached!
% 10.73/3.07 % (3198810)------------------------------
% 10.73/3.07 % (3198810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/3.07 % (3198810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/3.07 % (3198810)CaDiCaL version: 2.1.3
% 10.73/3.07 % (3198810)Termination reason: Instruction limit
% 10.73/3.07 % (3198810)Termination phase: Saturation
% 10.73/3.07 % (3198810)Time elapsed: 0.116 s
% 10.73/3.07 % (3198810)Peak memory usage: 88 MB
% 10.73/3.07 % (3198810)Instructions burned: 114 (million)
% 10.73/3.07 % (3198811)Instruction limit reached!
% 10.73/3.07 % (3198811)------------------------------
% 10.73/3.07 % (3198811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/3.07 % (3198811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/3.07 % (3198811)CaDiCaL version: 2.1.3
% 10.73/3.07 % (3198811)Termination reason: Instruction limit
% 10.73/3.07 % (3198811)Termination phase: Saturation
% 10.73/3.07 % (3198811)Time elapsed: 0.174 s
% 10.73/3.07 % (3198811)Peak memory usage: 90 MB
% 10.73/3.07 % (3198811)Instructions burned: 180 (million)
% 10.73/3.07 % (3198820)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=2905776651:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 10.73/3.07 % (3198820)Refutation not found, incomplete strategy
% 10.73/3.07 % (3198820)------------------------------
% 10.73/3.07 % (3198820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/3.07 % (3198820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/3.07 % (3198820)CaDiCaL version: 2.1.3
% 10.73/3.07 % (3198820)Termination reason: Refutation not found, incomplete strategy
% 10.73/3.07 % (3198820)Time elapsed: 0.002 s
% 10.73/3.07 % (3198820)Peak memory usage: 88 MB
% 10.73/3.07 % (3198820)Instructions burned: 1 (million)
% 10.73/3.07 % (3198821)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=577570605: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)
% 10.73/3.07 % (3198812)------------------------------
% 10.73/3.07 % (3198812)------------------------------
% 10.73/3.07 % (3198822)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3644550621:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 10.73/3.07 % (3198822)Refutation not found, incomplete strategy
% 10.73/3.07 % (3198822)------------------------------
% 10.73/3.07 % (3198822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/3.07 % (3198822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/3.07 % (3198822)CaDiCaL version: 2.1.3
% 10.73/3.07 % (3198822)Termination reason: Refutation not found, incomplete strategy
% 10.73/3.07 % (3198822)Time elapsed: 0.002 s
% 10.73/3.07 % (3198822)Peak memory usage: 88 MB
% 10.73/3.07 % (3198820)------------------------------
% 10.73/3.07 % (3198820)------------------------------
% 10.73/3.07 % (3198821)Instruction limit reached!
% 10.73/3.07 % (3198821)------------------------------
% 10.73/3.07 % (3198821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/3.07 % (3198821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/3.07 % (3198821)CaDiCaL version: 2.1.3
% 10.73/3.07 % (3198821)Termination reason: Instruction limit
% 10.73/3.07 % (3198821)Termination phase: Saturation
% 10.73/3.07 % (3198821)Time elapsed: 0.201 s
% 10.73/3.07 % (3198821)Peak memory usage: 89 MB
% 10.73/3.07 % (3198821)Instructions burned: 189 (million)
% 10.73/3.07 % (3198825)lrs+10_64_to=lpo:sil=8000:random_seed=1538363242:i=126:bd=preordered_2992 on theBenchmark for (2992ds/126Mi)
% 10.73/3.07 % (3198827)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1534581993:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 10.73/3.07 % (3198825)Instruction limit reached!
% 10.73/3.07 % (3198825)------------------------------
% 10.73/3.07 % (3198825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/3.07 % (3198825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/3.07 % (3198825)CaDiCaL version: 2.1.3
% 10.73/3.07 % (3198825)Termination reason: Instruction limit
% 10.73/3.07 % (3198825)Termination phase: Saturation
% 10.73/3.07 % (3198825)Time elapsed: 0.121 s
% 10.73/3.07 % (3198825)Peak memory usage: 89 MB
% 10.73/3.07 % (3198825)Instructions burned: 126 (million)
% 10.73/3.07 % (3198822)------------------------------
% 10.73/3.07 % (3198822)------------------------------
% 10.73/3.07 % (3198828)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1470358212:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 10.73/3.07 % (3198827)Instruction limit reached!
% 10.73/3.07 % (3198827)------------------------------
% 10.73/3.07 % (3198827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/3.07 % (3198827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/3.07 % (3198827)CaDiCaL version: 2.1.3
% 10.73/3.07 % (3198827)Termination reason: Instruction limit
% 10.73/3.07 % (3198827)Termination phase: Saturation
% 10.73/3.07 % (3198827)Time elapsed: 0.109 s
% 10.73/3.07 % (3198827)Peak memory usage: 90 MB
% 10.73/3.07 % (3198827)Instructions burned: 195 (million)
% 10.73/3.07 % (3198828)Instruction limit reached!
% 10.73/3.07 % (3198828)------------------------------
% 10.73/3.07 % (3198828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/3.07 % (3198828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/3.07 % (3198828)CaDiCaL version: 2.1.3
% 10.73/3.07 % (3198828)Termination reason: Instruction limit
% 10.73/3.07 % (3198828)Termination phase: Saturation
% 10.73/3.07 % (3198828)Time elapsed: 0.163 s
% 10.73/3.07 % (3198828)Peak memory usage: 90 MB
% 10.73/3.07 % (3198828)Instructions burned: 157 (million)
% 10.73/3.07 % (3198831)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1074978877:i=3394:sd=4:ss=included:sgt=64_2988 on theBenchmark for (2988ds/3394Mi)
% 10.73/3.07 % (3198832)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=2747570409:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 10.73/3.07 % (3198835)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1248659700:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 15.04/3.27 % (3198835)Instruction limit reached!
% 15.04/3.27 % (3198835)------------------------------
% 15.04/3.27 % (3198835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.27 % (3198835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.27 % (3198835)CaDiCaL version: 2.1.3
% 15.04/3.27 % (3198835)Termination reason: Instruction limit
% 15.04/3.27 % (3198835)Termination phase: Saturation
% 15.04/3.27 % (3198835)Time elapsed: 0.058 s
% 15.04/3.27 % (3198835)Peak memory usage: 89 MB
% 15.04/3.27 % (3198835)Instructions burned: 109 (million)
% 15.04/3.27 % (3198832)Instruction limit reached!
% 15.04/3.27 % (3198832)------------------------------
% 15.04/3.27 % (3198832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.27 % (3198832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.27 % (3198832)CaDiCaL version: 2.1.3
% 15.04/3.27 % (3198832)Termination reason: Instruction limit
% 15.04/3.27 % (3198832)Termination phase: Saturation
% 15.04/3.27 % (3198832)Time elapsed: 0.111 s
% 15.04/3.27 % (3198832)Peak memory usage: 90 MB
% 15.04/3.27 % (3198832)Instructions burned: 106 (million)
% 15.04/3.27 % (3198806)First to succeed.
% 15.04/3.27 % (3198806)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3198801"
% 15.04/3.27 % (3198836)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1890718180:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 15.04/3.27 % (3198840)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2806580503:cond=fast:i=5208:av=off_2984 on theBenchmark for (2984ds/5208Mi)
% 15.04/3.27 % (3198841)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2089380673:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 15.04/3.27 % (3198836)Instruction limit reached!
% 15.04/3.27 % (3198836)------------------------------
% 15.04/3.27 % (3198836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.27 % (3198836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.27 % (3198836)CaDiCaL version: 2.1.3
% 15.04/3.27 % (3198836)Termination reason: Instruction limit
% 15.04/3.27 % (3198836)Termination phase: Saturation
% 15.04/3.27 % (3198836)Time elapsed: 0.232 s
% 15.04/3.27 % (3198836)Peak memory usage: 91 MB
% 15.04/3.27 % (3198836)Instructions burned: 242 (million)
% 15.04/3.27 % (3198841)Instruction limit reached!
% 15.04/3.27 % (3198841)------------------------------
% 15.04/3.27 % (3198841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.27 % (3198841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.27 % (3198841)CaDiCaL version: 2.1.3
% 15.04/3.27 % (3198841)Termination reason: Instruction limit
% 15.04/3.27 % (3198841)Termination phase: Saturation
% 15.04/3.27 % (3198841)Time elapsed: 0.139 s
% 15.04/3.27 % (3198841)Peak memory usage: 90 MB
% 15.04/3.27 % (3198841)Instructions burned: 135 (million)
% 15.04/3.27 % (3198806)Refutation found. Thanks to Tanya!
% 15.04/3.27 % SZS status Unsatisfiable for theBenchmark
% 15.04/3.27 % SZS output start Proof for theBenchmark
% See solution above
% 15.04/3.27 % (3198806)------------------------------
% 15.04/3.27 % (3198806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.27 % (3198806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.27 % (3198806)CaDiCaL version: 2.1.3
% 15.04/3.27 % (3198806)Termination reason: Refutation
% 15.04/3.27 % (3198806)Time elapsed: 1.341 s
% 15.04/3.27 % (3198806)Peak memory usage: 132 MB
% 15.04/3.27 % (3198806)Instructions burned: 1239 (million)
% 15.04/3.27 % (3198806)------------------------------
% 15.04/3.27 % (3198806)------------------------------
% 15.04/3.27 % (3198801)Success in time 2.037 s
% 15.04/3.27 % Vampire exiting
%------------------------------------------------------------------------------