%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN645-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 02:01:09 PM UTC 2026
% Result : Unsatisfiable 5.29s 1.53s
% Output : Refutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-5 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_1) ).
fof(f7,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_7) ).
fof(f9,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_9) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( p12(X0,X1)
| ~ p12(X2,X0)
| ~ p12(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_16) ).
fof(f22,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_22) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( p25(X0,X1)
| ~ p12(X2,X1)
| ~ p25(X3,X2)
| ~ p12(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_23) ).
fof(f32,negated_conjecture,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f17_is_not_p24_32) ).
fof(f33,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_33) ).
fof(f37,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( p25(f13(f14(X0,f16(f10(X1,f11(X2,X3)),c32,X0))),f13(f14(X0,X4)))
| ~ p22(f3(f4(f5(c26))),X2)
| ~ p23(X4,f8(f10(X1,f11(X2,X3)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_37) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( p24(f17(f10(X1,f11(X2,X3)),f16(f10(X1,f11(X2,X3)),c32,X4)))
| p23(f21(X1,X2,X3,X4,X0),f8(f10(X1,f11(X2,X3))))
| p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4))
| ~ p22(f3(f4(f5(c26))),X2)
| ~ p23(X0,f8(f10(X1,f11(X2,X3)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_41) ).
fof(f42,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( p24(f17(f10(X1,f11(X2,X3)),f16(f10(X1,f11(X2,X3)),c32,X4)))
| p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4))
| ~ p22(f3(f4(f5(c26))),X2)
| ~ p23(X0,f8(f10(X1,f11(X2,X3))))
| ~ p25(f13(f14(X4,X0)),f13(f14(X4,f21(X1,X2,X3,X4,X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_42) ).
fof(f69,plain,
p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28))),
inference(unit_resulting_resolution,[],[f16,f1,f33]) ).
fof(f200,plain,
p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))),
inference(unit_resulting_resolution,[],[f41,f7,f9,f22,f32]) ).
fof(f201,plain,
! [X0] : p25(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),f13(f14(X0,f21(c29,c27,c30,c31,c28)))),
inference(unit_resulting_resolution,[],[f37,f7,f200]) ).
fof(f203,plain,
~ p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
inference(unit_resulting_resolution,[],[f42,f7,f9,f22,f32]) ).
fof(f208,plain,
~ p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
inference(unit_resulting_resolution,[],[f23,f69,f1,f203]) ).
fof(f209,plain,
$false,
inference(forward_subsumption_resolution,[],[f208,f201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN645-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n005.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 16:39:01 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 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
% 5.29/1.53 % (916668)Input is clausal, will run a generic CNF schedule.
% 5.29/1.53 % (916675)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1279801702:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.29/1.53 % (916677)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3685279884:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.29/1.53 % (916674)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1876077193:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.29/1.53 % (916678)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1532926491:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.29/1.53 % (916676)lrs+10_1_sil=8000:sp=occurrence:random_seed=1757899243:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.29/1.53 % (916679)dis-21_1_sil=8000:lcm=predicate:random_seed=4100749104: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)
% 5.29/1.53 % (916673)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=2468069169:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.29/1.53 % (916676)Instruction limit reached!
% 5.29/1.53 % (916676)------------------------------
% 5.29/1.53 % (916676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (916676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (916676)CaDiCaL version: 2.1.3
% 5.29/1.53 % (916676)Termination reason: Instruction limit
% 5.29/1.53 % (916676)Termination phase: Saturation
% 5.29/1.53 % (916676)Time elapsed: 0.063 s
% 5.29/1.53 % (916676)Peak memory usage: 89 MB
% 5.29/1.53 % (916676)Instructions burned: 109 (million)
% 5.29/1.53 % (916679)Instruction limit reached!
% 5.29/1.53 % (916679)------------------------------
% 5.29/1.53 % (916679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (916679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (916679)CaDiCaL version: 2.1.3
% 5.29/1.53 % (916679)Termination reason: Instruction limit
% 5.29/1.53 % (916679)Termination phase: Saturation
% 5.29/1.53 % (916679)Time elapsed: 0.072 s
% 5.29/1.53 % (916679)Peak memory usage: 88 MB
% 5.29/1.53 % (916679)Instructions burned: 119 (million)
% 5.29/1.53 % (916677)Instruction limit reached!
% 5.29/1.53 % (916677)------------------------------
% 5.29/1.53 % (916677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (916677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (916677)CaDiCaL version: 2.1.3
% 5.29/1.53 % (916677)Termination reason: Instruction limit
% 5.29/1.53 % (916677)Termination phase: Saturation
% 5.29/1.53 % (916677)Time elapsed: 0.072 s
% 5.29/1.53 % (916677)Peak memory usage: 88 MB
% 5.29/1.53 % (916677)Instructions burned: 115 (million)
% 5.29/1.53 % (916678)Instruction limit reached!
% 5.29/1.53 % (916678)------------------------------
% 5.29/1.53 % (916678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (916678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (916678)CaDiCaL version: 2.1.3
% 5.29/1.53 % (916678)Termination reason: Instruction limit
% 5.29/1.53 % (916678)Termination phase: Saturation
% 5.29/1.53 % (916678)Time elapsed: 0.091 s
% 5.29/1.53 % (916678)Peak memory usage: 88 MB
% 5.29/1.53 % (916678)Instructions burned: 181 (million)
% 5.29/1.53 % (916687)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=297313342:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.29/1.53 % (916689)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4087975480:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.29/1.53 % (916688)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1815446634: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)
% 5.29/1.53 % (916688)First to succeed.
% 5.29/1.53 % (916688)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-916668"
% 5.29/1.53 % (916690)lrs+10_64_to=lpo:sil=8000:random_seed=4156748846:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.29/1.53 % (916687)Instruction limit reached!
% 5.29/1.53 % (916687)------------------------------
% 5.29/1.53 % (916687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (916687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (916687)CaDiCaL version: 2.1.3
% 5.29/1.53 % (916687)Termination reason: Instruction limit
% 5.29/1.53 % (916687)Termination phase: Saturation
% 5.29/1.53 % (916687)Time elapsed: 0.090 s
% 5.29/1.53 % (916687)Peak memory usage: 89 MB
% 5.29/1.53 % (916687)Instructions burned: 144 (million)
% 5.29/1.53 % (916690)Instruction limit reached!
% 5.29/1.53 % (916690)------------------------------
% 5.29/1.53 % (916690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (916690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (916690)CaDiCaL version: 2.1.3
% 5.29/1.53 % (916690)Termination reason: Instruction limit
% 5.29/1.53 % (916690)Termination phase: Saturation
% 5.29/1.53 % (916690)Time elapsed: 0.064 s
% 5.29/1.53 % (916690)Peak memory usage: 88 MB
% 5.29/1.53 % (916690)Instructions burned: 128 (million)
% 5.29/1.53 % (916689)Instruction limit reached!
% 5.29/1.53 % (916689)------------------------------
% 5.29/1.53 % (916689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (916689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (916689)CaDiCaL version: 2.1.3
% 5.29/1.53 % (916689)Termination reason: Instruction limit
% 5.29/1.53 % (916689)Termination phase: Saturation
% 5.29/1.53 % (916689)Time elapsed: 0.129 s
% 5.29/1.53 % (916689)Peak memory usage: 89 MB
% 5.29/1.53 % (916689)Instructions burned: 220 (million)
% 5.29/1.53 % (916675)Also succeeded, but the first one will report.
% 5.29/1.53 % (916695)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=952495024:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.29/1.53 % (916696)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1534953076:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.29/1.53 % (916688)Refutation found. Thanks to Tanya!
% 5.29/1.53 % SZS status Unsatisfiable for theBenchmark
% 5.29/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 5.29/1.53 % (916688)------------------------------
% 5.29/1.53 % (916688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (916688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (916688)CaDiCaL version: 2.1.3
% 5.29/1.53 % (916688)Termination reason: Refutation
% 5.29/1.53 % (916688)Time elapsed: 0.007 s
% 5.29/1.53 % (916688)Peak memory usage: 88 MB
% 5.29/1.53 % (916688)Instructions burned: 11 (million)
% 5.29/1.53 % (916688)------------------------------
% 5.29/1.53 % (916688)------------------------------
% 5.29/1.53 % (916668)Success in time 0.654 s
% 5.29/1.53 % Vampire exiting
%------------------------------------------------------------------------------