%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL003-8 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 09:37:35 AM UTC 2026
% Result : Unsatisfiable 10.65s 2.36s
% Output : Refutation 10.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 42 unt; 8 def)
% Number of atoms : 46 ( 40 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 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 : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_definition) ).
fof(f3,axiom,
! [X0] :
( apply(X0,fixed_pt) != apply(fixed_pt,apply(X0,fixed_pt))
| fixed_point(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).
fof(f4,negated_conjecture,
~ fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f5,definition,
sF0 = apply(w,w),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f6,plain,
apply(w,w) = sF0,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF1 = apply(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f8,plain,
apply(b,sF0) = sF1,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF2 = apply(b,w),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f10,plain,
apply(b,w) = sF2,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF3 = apply(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f12,plain,
apply(sF1,sF2) = sF3,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF4 = apply(b,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f14,plain,
apply(b,sF3) = sF4,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF5 = apply(b,b),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f16,plain,
apply(b,b) = sF5,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF6 = apply(sF5,b),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f18,plain,
apply(sF5,b) = sF6,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF7 = apply(sF4,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f20,plain,
apply(sF4,sF6) = sF7,
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
~ fixed_point(sF7),
inference(definition_folding,[],[f4,f20,f18,f16,f14,f12,f10,f8,f6]) ).
fof(f23,plain,
! [X0,X1] : apply(w,apply(X0,X1)) = apply(apply(sF2,X0),X1),
inference(superposition,[],[f1,f10]) ).
fof(f24,plain,
! [X0,X1] : apply(b,apply(X0,X1)) = apply(apply(sF5,X0),X1),
inference(superposition,[],[f1,f16]) ).
fof(f25,plain,
! [X0,X1] : apply(sF0,apply(X0,X1)) = apply(apply(sF1,X0),X1),
inference(superposition,[],[f1,f8]) ).
fof(f26,plain,
! [X0,X1] : apply(sF3,apply(X0,X1)) = apply(apply(sF4,X0),X1),
inference(superposition,[],[f1,f14]) ).
fof(f31,plain,
! [X0,X1] : apply(apply(apply(w,X0),X1),X1) = apply(apply(w,apply(X0,X1)),X1),
inference(superposition,[],[f2,f2]) ).
fof(f33,plain,
! [X0] : apply(apply(w,w),X0) = apply(apply(X0,X0),X0),
inference(superposition,[],[f2,f2]) ).
fof(f36,plain,
! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(w,apply(b,X0)),X1),
inference(superposition,[],[f1,f2]) ).
fof(f38,plain,
! [X0] : apply(sF0,X0) = apply(apply(X0,X0),X0),
inference(forward_demodulation,[],[f33,f6]) ).
fof(f65,plain,
! [X0] : apply(b,apply(b,X0)) = apply(sF6,X0),
inference(superposition,[],[f24,f18]) ).
fof(f80,plain,
! [X0] : apply(sF0,apply(sF2,X0)) = apply(sF3,X0),
inference(superposition,[],[f25,f12]) ).
fof(f89,plain,
! [X0] : apply(sF3,apply(sF6,X0)) = apply(sF7,X0),
inference(superposition,[],[f26,f20]) ).
fof(f103,plain,
! [X0] : apply(sF0,apply(sF2,X0)) = apply(apply(w,apply(X0,apply(sF2,X0))),apply(sF2,X0)),
inference(superposition,[],[f38,f23]) ).
fof(f104,plain,
! [X0] : apply(sF3,X0) = apply(apply(w,apply(X0,apply(sF2,X0))),apply(sF2,X0)),
inference(forward_demodulation,[],[f103,f80]) ).
fof(f133,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X1),X2)) = apply(apply(apply(w,apply(b,apply(b,X0))),X1),X2),
inference(superposition,[],[f1,f36]) ).
fof(f159,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X1),X2)) = apply(apply(apply(w,apply(sF6,X0)),X1),X2),
inference(forward_demodulation,[],[f133,f65]) ).
fof(f175,plain,
! [X0,X1] : apply(apply(apply(w,apply(sF6,X1)),X0),X0) = apply(X1,apply(sF0,X0)),
inference(superposition,[],[f159,f38]) ).
fof(f231,plain,
! [X0,X1] : apply(X1,apply(sF0,X0)) = apply(apply(w,apply(apply(sF6,X1),X0)),X0),
inference(forward_demodulation,[],[f175,f31]) ).
fof(f3598,plain,
! [X0] : apply(sF3,apply(sF6,X0)) = apply(X0,apply(sF0,apply(sF2,apply(sF6,X0)))),
inference(superposition,[],[f104,f231]) ).
fof(f3632,plain,
! [X0] : apply(sF3,apply(sF6,X0)) = apply(X0,apply(sF3,apply(sF6,X0))),
inference(forward_demodulation,[],[f3598,f80]) ).
fof(f3672,plain,
! [X0] : apply(sF7,X0) = apply(X0,apply(sF7,X0)),
inference(forward_demodulation,[],[f3632,f89]) ).
fof(f3769,plain,
( apply(sF7,fixed_pt) != apply(sF7,fixed_pt)
| fixed_point(sF7) ),
inference(superposition,[],[f3,f3672]) ).
fof(f3789,plain,
fixed_point(sF7),
inference(trivial_inequality_removal,[],[f3769]) ).
fof(f3793,plain,
$false,
inference(forward_subsumption_resolution,[],[f3789,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL003-8 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n004.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 21:29:07 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 10.20/2.09 % (804478)Input is clausal, will run a generic CNF schedule.
% 10.20/2.09 % (804566)lrs+10_1_sil=8000:sp=occurrence:random_seed=2340899449:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.20/2.09 % (804567)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1801280787:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.20/2.09 % (804565)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=638059246:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.20/2.09 % (804571)dis-21_1_sil=8000:lcm=predicate:random_seed=1380663694: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)
% 10.20/2.09 % (804562)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=1342005765:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.20/2.09 % (804563)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=956597035:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.20/2.09 % (804571)Refutation not found, incomplete strategy
% 10.20/2.09 % (804571)------------------------------
% 10.20/2.09 % (804571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/2.09 % (804571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/2.09 % (804571)CaDiCaL version: 2.1.3
% 10.20/2.09 % (804571)Termination reason: Refutation not found, incomplete strategy
% 10.20/2.09 % (804571)Time elapsed: 0.001 s
% 10.20/2.09 % (804571)Peak memory usage: 88 MB
% 10.20/2.09 % (804566)Instruction limit reached!
% 10.20/2.09 % (804566)------------------------------
% 10.20/2.09 % (804566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/2.09 % (804566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/2.09 % (804566)CaDiCaL version: 2.1.3
% 10.20/2.09 % (804566)Termination reason: Instruction limit
% 10.20/2.09 % (804566)Termination phase: Saturation
% 10.20/2.09 % (804566)Time elapsed: 0.038 s
% 10.20/2.09 % (804566)Peak memory usage: 89 MB
% 10.20/2.09 % (804566)Instructions burned: 109 (million)
% 10.20/2.09 % (804570)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4254029313:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.20/2.09 % (804567)Instruction limit reached!
% 10.20/2.09 % (804567)------------------------------
% 10.20/2.09 % (804567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/2.09 % (804567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/2.09 % (804567)CaDiCaL version: 2.1.3
% 10.20/2.09 % (804567)Termination reason: Instruction limit
% 10.20/2.09 % (804567)Termination phase: Saturation
% 10.20/2.09 % (804567)Time elapsed: 0.072 s
% 10.20/2.09 % (804567)Peak memory usage: 88 MB
% 10.20/2.09 % (804567)Instructions burned: 121 (million)
% 10.20/2.09 % (804570)Instruction limit reached!
% 10.20/2.09 % (804570)------------------------------
% 10.20/2.09 % (804570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/2.09 % (804570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/2.09 % (804570)CaDiCaL version: 2.1.3
% 10.20/2.09 % (804570)Termination reason: Instruction limit
% 10.20/2.09 % (804570)Termination phase: Saturation
% 10.20/2.09 % (804570)Time elapsed: 0.098 s
% 10.20/2.09 % (804570)Peak memory usage: 89 MB
% 10.20/2.09 % (804570)Instructions burned: 180 (million)
% 10.20/2.09 % (804605)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=1185122724:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.20/2.09 % (804605)Refutation not found, incomplete strategy
% 10.20/2.09 % (804605)------------------------------
% 10.20/2.09 % (804605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/2.09 % (804605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/2.09 % (804605)CaDiCaL version: 2.1.3
% 10.20/2.09 % (804605)Termination reason: Refutation not found, incomplete strategy
% 10.20/2.09 % (804605)Time elapsed: 0.0000 s
% 10.20/2.09 % (804605)Peak memory usage: 88 MB
% 10.20/2.09 % (804621)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1235540700: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)
% 10.65/2.36 % (804621)Refutation not found, incomplete strategy
% 10.65/2.36 % (804621)------------------------------
% 10.65/2.36 % (804621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.36 % (804621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.36 % (804621)CaDiCaL version: 2.1.3
% 10.65/2.36 % (804621)Termination reason: Refutation not found, incomplete strategy
% 10.65/2.36 % (804621)Time elapsed: 0.002 s
% 10.65/2.36 % (804621)Peak memory usage: 88 MB
% 10.65/2.36 % (804621)Instructions burned: 1 (million)
% 10.65/2.36 % (804571)------------------------------
% 10.65/2.36 % (804571)------------------------------
% 10.65/2.36 % (804630)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4100292841:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 10.65/2.36 % (804630)Refutation not found, incomplete strategy
% 10.65/2.36 % (804630)------------------------------
% 10.65/2.36 % (804630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.36 % (804630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.36 % (804630)CaDiCaL version: 2.1.3
% 10.65/2.36 % (804630)Termination reason: Refutation not found, incomplete strategy
% 10.65/2.36 % (804630)Time elapsed: 0.001 s
% 10.65/2.36 % (804630)Peak memory usage: 88 MB
% 10.65/2.36 % (804605)------------------------------
% 10.65/2.36 % (804605)------------------------------
% 10.65/2.36 % (804632)lrs+10_64_to=lpo:sil=8000:random_seed=2117179167:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 10.65/2.36 % (804621)------------------------------
% 10.65/2.36 % (804621)------------------------------
% 10.65/2.36 % (804632)Instruction limit reached!
% 10.65/2.36 % (804632)------------------------------
% 10.65/2.36 % (804632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.36 % (804632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.36 % (804632)CaDiCaL version: 2.1.3
% 10.65/2.36 % (804632)Termination reason: Instruction limit
% 10.65/2.36 % (804632)Termination phase: Saturation
% 10.65/2.36 % (804632)Time elapsed: 0.084 s
% 10.65/2.36 % (804632)Peak memory usage: 89 MB
% 10.65/2.36 % (804632)Instructions burned: 126 (million)
% 10.65/2.36 % (804630)------------------------------
% 10.65/2.36 % (804630)------------------------------
% 10.65/2.36 % (804634)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2986894061:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 10.65/2.36 % (804644)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4013238601:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 10.65/2.36 % (804645)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1395005075:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 10.65/2.36 % (804634)Instruction limit reached!
% 10.65/2.36 % (804634)------------------------------
% 10.65/2.36 % (804634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.36 % (804634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.36 % (804634)CaDiCaL version: 2.1.3
% 10.65/2.36 % (804634)Termination reason: Instruction limit
% 10.65/2.36 % (804634)Termination phase: Saturation
% 10.65/2.36 % (804634)Time elapsed: 0.204 s
% 10.65/2.36 % (804634)Peak memory usage: 90 MB
% 10.65/2.36 % (804634)Instructions burned: 195 (million)
% 10.65/2.36 % (804648)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=605611513:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 10.65/2.36 % (804644)Instruction limit reached!
% 10.65/2.36 % (804644)------------------------------
% 10.65/2.36 % (804644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.36 % (804644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.36 % (804644)CaDiCaL version: 2.1.3
% 10.65/2.36 % (804644)Termination reason: Instruction limit
% 10.65/2.36 % (804644)Termination phase: Saturation
% 10.65/2.36 % (804644)Time elapsed: 0.167 s
% 10.65/2.36 % (804644)Peak memory usage: 91 MB
% 10.65/2.36 % (804644)Instructions burned: 157 (million)
% 10.65/2.36 % (804648)Instruction limit reached!
% 10.65/2.36 % (804648)------------------------------
% 10.65/2.36 % (804648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.36 % (804648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.36 % (804648)CaDiCaL version: 2.1.3
% 10.65/2.36 % (804648)Termination reason: Instruction limit
% 10.65/2.36 % (804648)Termination phase: Saturation
% 10.65/2.36 % (804648)Time elapsed: 0.095 s
% 10.65/2.36 % (804648)Peak memory usage: 89 MB
% 10.65/2.36 % (804648)Instructions burned: 106 (million)
% 10.65/2.36 % (804562)First to succeed.
% 10.65/2.36 % (804562)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-804478"
% 10.65/2.36 % (804659)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3133660425:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 10.65/2.36 % (804659)Refutation not found, incomplete strategy
% 10.65/2.36 % (804659)------------------------------
% 10.65/2.36 % (804659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.36 % (804659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.36 % (804659)CaDiCaL version: 2.1.3
% 10.65/2.36 % (804659)Termination reason: Refutation not found, incomplete strategy
% 10.65/2.36 % (804659)Time elapsed: 0.002 s
% 10.65/2.36 % (804659)Peak memory usage: 87 MB
% 10.65/2.36 % (804663)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2951210780:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 10.65/2.36 % (804664)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1252528814:cond=fast:i=5208:av=off_2988 on theBenchmark for (2988ds/5208Mi)
% 10.65/2.36 % (804562)Refutation found. Thanks to Tanya!
% 10.65/2.36 % SZS status Unsatisfiable for theBenchmark
% 10.65/2.36 % SZS output start Proof for theBenchmark
% See solution above
% 10.65/2.36 % (804562)------------------------------
% 10.65/2.36 % (804562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.36 % (804562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.36 % (804562)CaDiCaL version: 2.1.3
% 10.65/2.36 % (804562)Termination reason: Refutation
% 10.65/2.36 % (804562)Time elapsed: 1.013 s
% 10.65/2.36 % (804562)Peak memory usage: 136 MB
% 10.65/2.36 % (804562)Instructions burned: 1739 (million)
% 10.65/2.36 % (804562)------------------------------
% 10.65/2.36 % (804562)------------------------------
% 10.65/2.36 % (804478)Success in time 1.426 s
% 10.65/2.36 % Vampire exiting
%------------------------------------------------------------------------------