%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV665-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 01:19:13 PM UTC 2026
% Result : Unsatisfiable 10.09s 2.29s
% Output : Refutation 10.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-5 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f692,axiom,
! [X0] : hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__mult__1_0) ).
fof(f1199,axiom,
! [X0] : X0 != hAPP(c_Suc,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_n__not__Suc__n_0) ).
fof(f1200,plain,
! [X0] : hAPP(c_Suc,X0) != X0,
inference(reorient_equations,[],[f1199]) ).
fof(f1756,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBS(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),hAPP(X1,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBS__def_0) ).
fof(f1758,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBB(X0,X1,X2,X3,X4),X5) = hAPP(X0,hAPP(X1,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).
fof(f1822,plain,
! [X2,X3,X0,X1,X4] : hAPP(c_COMBS(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X1,X2,X3,X4),X0) = hAPP(X0,hAPP(X1,X0)),
inference(superposition,[],[f1756,f692]) ).
fof(f1874,plain,
! [X2,X3,X0,X1] : hAPP(c_COMBS(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X1,X2,X3),X0) = hAPP(X0,X0),
inference(superposition,[],[f1822,f692]) ).
fof(f1927,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(c_COMBS(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X0,X1,X2),c_COMBB(X3,X4,X5,X6,X7)) = hAPP(X3,hAPP(X4,c_COMBB(X3,X4,X5,X6,X7))),
inference(superposition,[],[f1758,f1874]) ).
fof(f1933,plain,
$false,
inference(unit_resulting_resolution,[],[f1927,f1200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV665-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n016.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 12:16:48 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 9.70/2.09 % (3585506)Input is clausal, will run a generic CNF schedule.
% 9.70/2.09 % (3585515)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1716059271:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.70/2.09 % (3585515)Instruction limit reached!
% 9.70/2.09 % (3585515)------------------------------
% 9.70/2.09 % (3585515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.70/2.09 % (3585515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.70/2.09 % (3585515)CaDiCaL version: 2.1.3
% 9.70/2.09 % (3585515)Termination reason: Instruction limit
% 9.70/2.09 % (3585515)Termination phase: Saturation
% 9.70/2.09 % (3585515)Time elapsed: 0.039 s
% 9.70/2.09 % (3585515)Peak memory usage: 89 MB
% 9.70/2.09 % (3585515)Instructions burned: 116 (million)
% 9.70/2.09 % (3585516)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1132046487:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.70/2.09 % (3585514)lrs+10_1_sil=8000:sp=occurrence:random_seed=3173931032:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.70/2.09 % (3585511)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=213768938:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.70/2.09 % (3585512)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4242981181:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.70/2.09 % (3585513)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4047492508:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.70/2.09 % (3585517)dis-21_1_sil=8000:lcm=predicate:random_seed=4192109869: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)
% 9.70/2.09 % (3585517)Instruction limit reached!
% 9.70/2.09 % (3585517)------------------------------
% 9.70/2.09 % (3585517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.70/2.09 % (3585517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.70/2.09 % (3585517)CaDiCaL version: 2.1.3
% 9.70/2.09 % (3585517)Termination reason: Instruction limit
% 9.70/2.09 % (3585517)Termination phase: Saturation
% 9.70/2.09 % (3585517)Time elapsed: 0.067 s
% 9.70/2.09 % (3585517)Peak memory usage: 90 MB
% 9.70/2.09 % (3585517)Instructions burned: 117 (million)
% 9.70/2.09 % (3585514)Instruction limit reached!
% 9.70/2.09 % (3585514)------------------------------
% 9.70/2.09 % (3585514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.70/2.09 % (3585514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.70/2.09 % (3585514)CaDiCaL version: 2.1.3
% 9.70/2.09 % (3585514)Termination reason: Instruction limit
% 9.70/2.09 % (3585514)Termination phase: Saturation
% 9.70/2.09 % (3585514)Time elapsed: 0.067 s
% 9.70/2.09 % (3585514)Peak memory usage: 90 MB
% 9.70/2.09 % (3585514)Instructions burned: 107 (million)
% 9.70/2.09 % (3585516)Instruction limit reached!
% 9.70/2.09 % (3585516)------------------------------
% 9.70/2.09 % (3585516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.70/2.09 % (3585516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.70/2.09 % (3585516)CaDiCaL version: 2.1.3
% 9.70/2.09 % (3585516)Termination reason: Instruction limit
% 9.70/2.09 % (3585516)Termination phase: Saturation
% 9.70/2.09 % (3585516)Time elapsed: 0.100 s
% 9.70/2.09 % (3585516)Peak memory usage: 90 MB
% 9.70/2.09 % (3585516)Instructions burned: 180 (million)
% 9.70/2.09 % (3585519)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=2854732084:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.70/2.09 % (3585519)Refutation not found, incomplete strategy
% 9.70/2.09 % (3585519)------------------------------
% 9.70/2.09 % (3585519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.70/2.09 % (3585519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.70/2.09 % (3585519)CaDiCaL version: 2.1.3
% 9.70/2.09 % (3585519)Termination reason: Refutation not found, incomplete strategy
% 9.70/2.09 % (3585519)Time elapsed: 0.012 s
% 9.70/2.09 % (3585519)Peak memory usage: 89 MB
% 9.70/2.09 % (3585519)Instructions burned: 37 (million)
% 9.70/2.09 % (3585526)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1402681722: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)
% 10.09/2.29 % (3585527)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2695889230:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 10.09/2.29 % (3585528)lrs+10_64_to=lpo:sil=8000:random_seed=2703106279:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 10.09/2.29 % (3585527)Refutation not found, incomplete strategy
% 10.09/2.29 % (3585527)------------------------------
% 10.09/2.29 % (3585527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.29 % (3585527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.29 % (3585527)CaDiCaL version: 2.1.3
% 10.09/2.29 % (3585527)Termination reason: Refutation not found, incomplete strategy
% 10.09/2.29 % (3585527)Time elapsed: 0.046 s
% 10.09/2.29 % (3585527)Peak memory usage: 90 MB
% 10.09/2.29 % (3585527)Instructions burned: 82 (million)
% 10.09/2.29 % (3585519)------------------------------
% 10.09/2.29 % (3585519)------------------------------
% 10.09/2.29 % (3585526)Instruction limit reached!
% 10.09/2.29 % (3585526)------------------------------
% 10.09/2.29 % (3585526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.29 % (3585526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.29 % (3585526)CaDiCaL version: 2.1.3
% 10.09/2.29 % (3585526)Termination reason: Instruction limit
% 10.09/2.29 % (3585526)Termination phase: Saturation
% 10.09/2.29 % (3585526)Time elapsed: 0.101 s
% 10.09/2.29 % (3585526)Peak memory usage: 91 MB
% 10.09/2.29 % (3585526)Instructions burned: 190 (million)
% 10.09/2.29 % (3585528)Instruction limit reached!
% 10.09/2.29 % (3585528)------------------------------
% 10.09/2.29 % (3585528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.29 % (3585528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.29 % (3585528)CaDiCaL version: 2.1.3
% 10.09/2.29 % (3585528)Termination reason: Instruction limit
% 10.09/2.29 % (3585528)Termination phase: Saturation
% 10.09/2.29 % (3585528)Time elapsed: 0.079 s
% 10.09/2.29 % (3585528)Peak memory usage: 90 MB
% 10.09/2.29 % (3585528)Instructions burned: 127 (million)
% 10.09/2.29 % (3585533)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2482767476:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 10.09/2.29 % (3585533)Instruction limit reached!
% 10.09/2.29 % (3585533)------------------------------
% 10.09/2.29 % (3585533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.29 % (3585533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.29 % (3585533)CaDiCaL version: 2.1.3
% 10.09/2.29 % (3585533)Termination reason: Instruction limit
% 10.09/2.29 % (3585533)Termination phase: Saturation
% 10.09/2.29 % (3585533)Time elapsed: 0.067 s
% 10.09/2.29 % (3585533)Peak memory usage: 91 MB
% 10.09/2.29 % (3585533)Instructions burned: 196 (million)
% 10.09/2.29 % (3585535)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2474213362:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 10.09/2.29 % (3585534)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3177379324:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 10.09/2.29 % (3585527)------------------------------
% 10.09/2.29 % (3585527)------------------------------
% 10.09/2.29 % (3585534)Instruction limit reached!
% 10.09/2.29 % (3585534)------------------------------
% 10.09/2.29 % (3585534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.29 % (3585534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.29 % (3585534)CaDiCaL version: 2.1.3
% 10.09/2.29 % (3585534)Termination reason: Instruction limit
% 10.09/2.29 % (3585534)Termination phase: Saturation
% 10.09/2.29 % (3585534)Time elapsed: 0.079 s
% 10.09/2.29 % (3585534)Peak memory usage: 91 MB
% 10.09/2.29 % (3585534)Instructions burned: 157 (million)
% 10.09/2.29 % (3585537)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=2645897792:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 10.09/2.29 % (3585537)Instruction limit reached!
% 10.09/2.29 % (3585537)------------------------------
% 10.09/2.29 % (3585537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.29 % (3585537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.29 % (3585537)CaDiCaL version: 2.1.3
% 10.09/2.29 % (3585537)Termination reason: Instruction limit
% 10.09/2.29 % (3585537)Termination phase: Saturation
% 10.09/2.29 % (3585537)Time elapsed: 0.031 s
% 10.09/2.29 % (3585537)Peak memory usage: 90 MB
% 10.09/2.29 % (3585537)Instructions burned: 108 (million)
% 10.09/2.29 % (3585540)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3917758784:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 10.09/2.29 % (3585540)Refutation not found, incomplete strategy
% 10.09/2.29 % (3585540)------------------------------
% 10.09/2.29 % (3585540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.29 % (3585540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.29 % (3585540)CaDiCaL version: 2.1.3
% 10.09/2.29 % (3585540)Termination reason: Refutation not found, incomplete strategy
% 10.09/2.29 % (3585540)Time elapsed: 0.027 s
% 10.09/2.29 % (3585540)Peak memory usage: 90 MB
% 10.09/2.29 % (3585540)Instructions burned: 42 (million)
% 10.09/2.29 % (3585541)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=438683632:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 10.09/2.29 % (3585543)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1229173935:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 10.09/2.29 % (3585541)Instruction limit reached!
% 10.09/2.29 % (3585541)------------------------------
% 10.09/2.29 % (3585541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.29 % (3585541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.29 % (3585541)CaDiCaL version: 2.1.3
% 10.09/2.29 % (3585541)Termination reason: Instruction limit
% 10.09/2.29 % (3585541)Termination phase: Saturation
% 10.09/2.29 % (3585541)Time elapsed: 0.129 s
% 10.09/2.29 % (3585541)Peak memory usage: 90 MB
% 10.09/2.29 % (3585541)Instructions burned: 244 (million)
% 10.09/2.29 % (3585512)First to succeed.
% 10.09/2.29 % (3585512)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3585506"
% 10.09/2.29 % (3585511)Also succeeded, but the first one will report.
% 10.09/2.29 % (3585540)------------------------------
% 10.09/2.29 % (3585540)------------------------------
% 10.09/2.29 % (3585547)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=479394494:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 10.09/2.29 % (3585547)Instruction limit reached!
% 10.09/2.29 % (3585547)------------------------------
% 10.09/2.29 % (3585547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.29 % (3585547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.29 % (3585547)CaDiCaL version: 2.1.3
% 10.09/2.29 % (3585547)Termination reason: Instruction limit
% 10.09/2.29 % (3585547)Termination phase: Saturation
% 10.09/2.29 % (3585547)Time elapsed: 0.087 s
% 10.09/2.29 % (3585547)Peak memory usage: 90 MB
% 10.09/2.29 % (3585547)Instructions burned: 134 (million)
% 10.09/2.29 % (3585548)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2360296683:i=499:bd=all_2987 on theBenchmark for (2987ds/499Mi)
% 10.09/2.29 % (3585512)Refutation found. Thanks to Tanya!
% 10.09/2.29 % SZS status Unsatisfiable for theBenchmark
% 10.09/2.29 % SZS output start Proof for theBenchmark
% See solution above
% 10.09/2.29 % (3585512)------------------------------
% 10.09/2.29 % (3585512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.29 % (3585512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.29 % (3585512)CaDiCaL version: 2.1.3
% 10.09/2.29 % (3585512)Termination reason: Refutation
% 10.09/2.29 % (3585512)Time elapsed: 0.897 s
% 10.09/2.29 % (3585512)Peak memory usage: 144 MB
% 10.09/2.29 % (3585512)Instructions burned: 1423 (million)
% 10.09/2.29 % (3585512)------------------------------
% 10.09/2.29 % (3585512)------------------------------
% 10.09/2.29 % (3585506)Success in time 1.416 s
% 10.09/2.29 % Vampire exiting
%------------------------------------------------------------------------------