%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN658-1 : 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 : n026.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 02:01:11 PM UTC 2026
% Result : Unsatisfiable 3.52s 1.27s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
fof(f11,negated_conjecture,
~ p6(c28,f10(c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_11) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] : p6(f21(f8(X0,f9(X1,X2))),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_15) ).
fof(f25,negated_conjecture,
! [X2,X0,X1] :
( p6(X0,X1)
| ~ p6(X2,X0)
| ~ p6(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_25) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( p4(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_26) ).
fof(f44,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_44) ).
fof(f45,negated_conjecture,
! [X0] :
( p24(f19(f20(c34,c31)),f19(f20(c34,X0)))
| ~ p25(X0,f18(f8(c27,f9(c28,c29)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_45) ).
fof(f48,negated_conjecture,
! [X2,X0,X1] :
( p25(f22(X0,X1,X2),f18(X0))
| p6(f21(X0),f10(c33))
| p4(f5(X0,c36,X1),f5(X0,c36,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_48) ).
fof(f49,negated_conjecture,
! [X2,X0,X1] :
( p4(f5(X0,c36,X1),f5(X0,c36,X2))
| p6(f21(X0),f10(c33))
| ~ p24(f19(f20(X1,X2)),f19(f20(X1,f22(X0,X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_49) ).
fof(f51,plain,
! [X0] :
( ~ p6(X0,c28)
| ~ p6(X0,f10(c33)) ),
inference(resolution,[],[f25,f11]) ).
fof(f54,plain,
! [X0,X1] : ~ p6(f21(f8(X0,f9(c28,X1))),f10(c33)),
inference(resolution,[],[f51,f15]) ).
fof(f85,plain,
! [X0] :
( ~ p4(X0,f5(f8(c27,f9(c28,c29)),c36,c34))
| ~ p4(X0,f5(f8(c27,f9(c28,c29)),c36,c31)) ),
inference(resolution,[],[f44,f26]) ).
fof(f138,plain,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c31)),
inference(resolution,[],[f85,f4]) ).
fof(f149,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| ~ p24(f19(f20(c34,c31)),f19(f20(c34,f22(f8(c27,f9(c28,c29)),c34,c31)))) ),
inference(resolution,[],[f138,f49]) ).
fof(f152,plain,
~ p24(f19(f20(c34,c31)),f19(f20(c34,f22(f8(c27,f9(c28,c29)),c34,c31)))),
inference(forward_subsumption_resolution,[],[f149,f54]) ).
fof(f197,plain,
~ p25(f22(f8(c27,f9(c28,c29)),c34,c31),f18(f8(c27,f9(c28,c29)))),
inference(resolution,[],[f152,f45]) ).
fof(f331,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c31)) ),
inference(resolution,[],[f197,f48]) ).
fof(f333,plain,
p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c31)),
inference(forward_subsumption_resolution,[],[f331,f54]) ).
fof(f334,plain,
$false,
inference(forward_subsumption_resolution,[],[f333,f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN658-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n026.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 16:43:11 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 3.52/1.27 % (4005847)Input is clausal, will run a generic CNF schedule.
% 3.52/1.27 % (4005855)lrs+10_1_sil=8000:sp=occurrence:random_seed=1288090413:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.52/1.27 % (4005857)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1371988787:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.52/1.27 % (4005853)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2534645115:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.52/1.27 % (4005858)dis-21_1_sil=8000:lcm=predicate:random_seed=2416416662: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)
% 3.52/1.27 % (4005852)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=944806791:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.52/1.27 % (4005856)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3553678295:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.52/1.27 % (4005854)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2605111652:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.52/1.27 % (4005855)Instruction limit reached!
% 3.52/1.27 % (4005855)------------------------------
% 3.52/1.27 % (4005855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.27 % (4005855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.27 % (4005855)CaDiCaL version: 2.1.3
% 3.52/1.27 % (4005855)Termination reason: Instruction limit
% 3.52/1.27 % (4005855)Termination phase: Saturation
% 3.52/1.27 % (4005855)Time elapsed: 0.035 s
% 3.52/1.27 % (4005855)Peak memory usage: 89 MB
% 3.52/1.27 % (4005855)Instructions burned: 108 (million)
% 3.52/1.27 % (4005857)First to succeed.
% 3.52/1.27 % (4005857)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4005847"
% 3.52/1.27 % (4005856)Also succeeded, but the first one will report.
% 3.52/1.27 % (4005858)Instruction limit reached!
% 3.52/1.27 % (4005858)------------------------------
% 3.52/1.27 % (4005858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.27 % (4005858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.27 % (4005858)CaDiCaL version: 2.1.3
% 3.52/1.27 % (4005858)Termination reason: Instruction limit
% 3.52/1.27 % (4005858)Termination phase: Saturation
% 3.52/1.27 % (4005858)Time elapsed: 0.071 s
% 3.52/1.27 % (4005858)Peak memory usage: 89 MB
% 3.52/1.27 % (4005858)Instructions burned: 118 (million)
% 3.52/1.27 % (4005866)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=644092207:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.52/1.27 % (4005866)Instruction limit reached!
% 3.52/1.27 % (4005866)------------------------------
% 3.52/1.27 % (4005866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.27 % (4005866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.27 % (4005866)CaDiCaL version: 2.1.3
% 3.52/1.27 % (4005866)Termination reason: Instruction limit
% 3.52/1.27 % (4005866)Termination phase: Saturation
% 3.52/1.27 % (4005866)Time elapsed: 0.050 s
% 3.52/1.27 % (4005866)Peak memory usage: 89 MB
% 3.52/1.27 % (4005866)Instructions burned: 144 (million)
% 3.52/1.27 % (4005867)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2013652098: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)
% 3.52/1.27 % (4005869)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=802522617:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.52/1.27 % (4005869)Also succeeded, but the first one will report.
% 3.52/1.27 % (4005857)Refutation found. Thanks to Tanya!
% 3.52/1.27 % SZS status Unsatisfiable for theBenchmark
% 3.52/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.27 % (4005857)------------------------------
% 3.52/1.27 % (4005857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.27 % (4005857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.27 % (4005857)CaDiCaL version: 2.1.3
% 3.52/1.27 % (4005857)Termination reason: Refutation
% 3.52/1.27 % (4005857)Time elapsed: 0.011 s
% 3.52/1.27 % (4005857)Peak memory usage: 88 MB
% 3.52/1.27 % (4005857)Instructions burned: 14 (million)
% 3.52/1.27 % (4005857)------------------------------
% 3.52/1.27 % (4005857)------------------------------
% 3.52/1.27 % (4005847)Success in time 0.409 s
% 3.52/1.27 % Vampire exiting
%------------------------------------------------------------------------------