%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL378-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:52:11 AM UTC 2026
% Result : Unsatisfiable 7.81s 1.84s
% Output : Refutation 7.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 23 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(not(x),implies(x,y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_36) ).
fof(f9,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f4,f2]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f2]) ).
fof(f15,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
inference(unit_resulting_resolution,[],[f1,f10,f10]) ).
fof(f21,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f4,f15]) ).
fof(f32,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(unit_resulting_resolution,[],[f1,f2,f3]) ).
fof(f42,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f15,f32]) ).
fof(f52,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(unit_resulting_resolution,[],[f1,f3,f9]) ).
fof(f76,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(unit_resulting_resolution,[],[f1,f9,f21]) ).
fof(f91,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(unit_resulting_resolution,[],[f1,f2,f76]) ).
fof(f142,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f42,f91]) ).
fof(f174,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(unit_resulting_resolution,[],[f1,f52,f142]) ).
fof(f192,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(unit_resulting_resolution,[],[f1,f32,f174]) ).
fof(f271,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),
inference(unit_resulting_resolution,[],[f1,f15,f192]) ).
fof(f292,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(unit_resulting_resolution,[],[f1,f91,f271]) ).
fof(f298,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X1,X0),X0)))),
inference(unit_resulting_resolution,[],[f1,f10,f271]) ).
fof(f337,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(unit_resulting_resolution,[],[f1,f42,f292]) ).
fof(f452,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(unit_resulting_resolution,[],[f1,f337,f298]) ).
fof(f549,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f42,f452]) ).
fof(f562,plain,
$false,
inference(unit_resulting_resolution,[],[f1,f5,f9,f549]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL378-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 15:37:34 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.33 Running first-order theorem proving
% 0.03/0.33 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
% 6.24/1.69 % (2529897)Input is clausal, will run a generic CNF schedule.
% 6.24/1.69 % (2529930)dis-21_1_sil=8000:lcm=predicate:random_seed=3559517891:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 6.24/1.69 % (2529929)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1384594541:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 6.24/1.69 % (2529928)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=490958882:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 6.24/1.69 % (2529925)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4095064345:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 6.24/1.69 % (2529927)lrs+10_1_sil=8000:sp=occurrence:random_seed=588722823:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 6.24/1.69 % (2529926)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1483107307:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 6.24/1.69 % (2529924)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=167646167:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 6.24/1.69 % (2529930)Instruction limit reached!
% 6.24/1.69 % (2529930)------------------------------
% 6.24/1.69 % (2529930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.69 % (2529930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.69 % (2529930)CaDiCaL version: 2.1.3
% 6.24/1.69 % (2529930)Termination reason: Instruction limit
% 6.24/1.69 % (2529930)Termination phase: Saturation
% 6.24/1.69 % (2529930)Time elapsed: 0.053 s
% 6.24/1.69 % (2529930)Peak memory usage: 88 MB
% 6.24/1.69 % (2529930)Instructions burned: 118 (million)
% 6.24/1.69 % (2529927)Instruction limit reached!
% 6.24/1.69 % (2529927)------------------------------
% 6.24/1.69 % (2529927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.69 % (2529927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.69 % (2529927)CaDiCaL version: 2.1.3
% 6.24/1.69 % (2529927)Termination reason: Instruction limit
% 6.24/1.69 % (2529927)Termination phase: Saturation
% 6.24/1.69 % (2529927)Time elapsed: 0.060 s
% 6.24/1.69 % (2529927)Peak memory usage: 89 MB
% 6.24/1.69 % (2529927)Instructions burned: 108 (million)
% 6.24/1.69 % (2529928)Instruction limit reached!
% 6.24/1.69 % (2529928)------------------------------
% 6.24/1.69 % (2529928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.69 % (2529928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.69 % (2529928)CaDiCaL version: 2.1.3
% 6.24/1.69 % (2529928)Termination reason: Instruction limit
% 6.24/1.69 % (2529928)Termination phase: Saturation
% 6.24/1.69 % (2529928)Time elapsed: 0.061 s
% 6.24/1.69 % (2529928)Peak memory usage: 88 MB
% 6.24/1.69 % (2529928)Instructions burned: 115 (million)
% 6.24/1.69 % (2529929)Instruction limit reached!
% 6.24/1.69 % (2529929)------------------------------
% 6.24/1.69 % (2529929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.69 % (2529929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.69 % (2529929)CaDiCaL version: 2.1.3
% 6.24/1.69 % (2529929)Termination reason: Instruction limit
% 6.24/1.69 % (2529929)Termination phase: Saturation
% 6.24/1.69 % (2529929)Time elapsed: 0.068 s
% 6.24/1.69 % (2529929)Peak memory usage: 89 MB
% 6.24/1.69 % (2529929)Instructions burned: 180 (million)
% 6.24/1.69 % (2529946)lrs+10_64_to=lpo:sil=8000:random_seed=1650530323:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.24/1.69 % (2529943)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=1915483579:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.24/1.69 % (2529943)Refutation not found, incomplete strategy
% 6.24/1.69 % (2529943)------------------------------
% 6.24/1.69 % (2529943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.69 % (2529943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.69 % (2529943)CaDiCaL version: 2.1.3
% 6.24/1.69 % (2529943)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.69 % (2529943)Time elapsed: 0.003 s
% 7.81/1.84 % (2529943)Peak memory usage: 87 MB
% 7.81/1.84 % (2529946)Instruction limit reached!
% 7.81/1.84 % (2529946)------------------------------
% 7.81/1.84 % (2529946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.81/1.84 % (2529946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.84 % (2529946)CaDiCaL version: 2.1.3
% 7.81/1.84 % (2529946)Termination reason: Instruction limit
% 7.81/1.84 % (2529946)Termination phase: Saturation
% 7.81/1.84 % (2529946)Time elapsed: 0.068 s
% 7.81/1.84 % (2529946)Peak memory usage: 88 MB
% 7.81/1.84 % (2529946)Instructions burned: 126 (million)
% 7.81/1.84 % (2529945)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=727454655:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.81/1.84 % (2529944)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1281130945: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)
% 7.81/1.84 % (2529945)Refutation not found, incomplete strategy
% 7.81/1.84 % (2529945)------------------------------
% 7.81/1.84 % (2529945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.81/1.84 % (2529945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.84 % (2529945)CaDiCaL version: 2.1.3
% 7.81/1.84 % (2529945)Termination reason: Refutation not found, incomplete strategy
% 7.81/1.84 % (2529945)Time elapsed: 0.001 s
% 7.81/1.84 % (2529945)Peak memory usage: 87 MB
% 7.81/1.84 % (2529944)Instruction limit reached!
% 7.81/1.84 % (2529944)------------------------------
% 7.81/1.84 % (2529944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.81/1.84 % (2529944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.84 % (2529944)CaDiCaL version: 2.1.3
% 7.81/1.84 % (2529944)Termination reason: Instruction limit
% 7.81/1.84 % (2529944)Termination phase: Saturation
% 7.81/1.84 % (2529944)Time elapsed: 0.096 s
% 7.81/1.84 % (2529944)Peak memory usage: 89 MB
% 7.81/1.84 % (2529944)Instructions burned: 189 (million)
% 7.81/1.84 % (2529953)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=246558516:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.81/1.84 % (2529943)------------------------------
% 7.81/1.84 % (2529943)------------------------------
% 7.81/1.84 % (2529945)------------------------------
% 7.81/1.84 % (2529945)------------------------------
% 7.81/1.84 % (2529958)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=681624728:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.81/1.84 % (2529953)Instruction limit reached!
% 7.81/1.84 % (2529953)------------------------------
% 7.81/1.84 % (2529953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.81/1.84 % (2529953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.84 % (2529953)CaDiCaL version: 2.1.3
% 7.81/1.84 % (2529953)Termination reason: Instruction limit
% 7.81/1.84 % (2529953)Termination phase: Saturation
% 7.81/1.84 % (2529953)Time elapsed: 0.121 s
% 7.81/1.84 % (2529953)Peak memory usage: 89 MB
% 7.81/1.84 % (2529953)Instructions burned: 195 (million)
% 7.81/1.84 % (2529958)Instruction limit reached!
% 7.81/1.84 % (2529958)------------------------------
% 7.81/1.84 % (2529958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.81/1.84 % (2529958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.84 % (2529958)CaDiCaL version: 2.1.3
% 7.81/1.84 % (2529958)Termination reason: Instruction limit
% 7.81/1.84 % (2529958)Termination phase: Saturation
% 7.81/1.84 % (2529958)Time elapsed: 0.091 s
% 7.81/1.84 % (2529958)Peak memory usage: 90 MB
% 7.81/1.84 % (2529958)Instructions burned: 157 (million)
% 7.81/1.84 % (2529925)First to succeed.
% 7.81/1.84 % (2529925)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2529897"
% 7.81/1.84 % (2529962)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3263058418:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 7.81/1.84 % (2529963)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=1026919455:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.81/1.84 % (2529965)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1164938689:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 7.81/1.84 % (2529965)Refutation not found, incomplete strategy
% 7.81/1.84 % (2529965)------------------------------
% 7.81/1.84 % (2529965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.81/1.84 % (2529965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.84 % (2529965)CaDiCaL version: 2.1.3
% 7.81/1.84 % (2529965)Termination reason: Refutation not found, incomplete strategy
% 7.81/1.84 % (2529965)Time elapsed: 0.001 s
% 7.81/1.84 % (2529965)Peak memory usage: 87 MB
% 7.81/1.84 % (2529966)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1857647870:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.81/1.84 % (2529963)Instruction limit reached!
% 7.81/1.84 % (2529963)------------------------------
% 7.81/1.84 % (2529963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.81/1.84 % (2529963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.84 % (2529963)CaDiCaL version: 2.1.3
% 7.81/1.84 % (2529963)Termination reason: Instruction limit
% 7.81/1.84 % (2529963)Termination phase: Saturation
% 7.81/1.84 % (2529963)Time elapsed: 0.054 s
% 7.81/1.84 % (2529963)Peak memory usage: 88 MB
% 7.81/1.84 % (2529963)Instructions burned: 108 (million)
% 7.81/1.84 % (2529966)Instruction limit reached!
% 7.81/1.84 % (2529966)------------------------------
% 7.81/1.84 % (2529966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.81/1.84 % (2529966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.84 % (2529966)CaDiCaL version: 2.1.3
% 7.81/1.84 % (2529966)Termination reason: Instruction limit
% 7.81/1.84 % (2529966)Termination phase: Saturation
% 7.81/1.84 % (2529966)Time elapsed: 0.100 s
% 7.81/1.84 % (2529966)Peak memory usage: 90 MB
% 7.81/1.84 % (2529966)Instructions burned: 242 (million)
% 7.81/1.84 % (2529925)Refutation found. Thanks to Tanya!
% 7.81/1.84 % SZS status Unsatisfiable for theBenchmark
% 7.81/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 7.81/1.84 % (2529925)------------------------------
% 7.81/1.84 % (2529925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.81/1.84 % (2529925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.84 % (2529925)CaDiCaL version: 2.1.3
% 7.81/1.84 % (2529925)Termination reason: Refutation
% 7.81/1.84 % (2529925)Time elapsed: 0.629 s
% 7.81/1.84 % (2529925)Peak memory usage: 128 MB
% 7.81/1.84 % (2529925)Instructions burned: 1080 (million)
% 7.81/1.84 % (2529925)------------------------------
% 7.81/1.84 % (2529925)------------------------------
% 7.81/1.84 % (2529897)Success in time 1.061 s
% 7.81/1.84 % Vampire exiting
%------------------------------------------------------------------------------