%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN654-1 : 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 02:01:10 PM UTC 2026
% Result : Unsatisfiable 3.47s 1.28s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 17 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-8 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p8(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
fof(f10,negated_conjecture,
~ p8(c22,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_10) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( p8(X0,X1)
| ~ p8(X2,X0)
| ~ p8(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_18) ).
fof(f27,negated_conjecture,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).
fof(f31,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ p3(f11(X2,X3,X4,X0,X5,X6),f11(X7,X8,X9,X1,X10,X11))
| p8(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_31) ).
fof(f36,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ p21(f11(X2,X3,X6,X0,X7,X4),X5)
| p8(X0,f16(X1,X2,X3,X4,X5,X6,X0,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_36) ).
fof(f48,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ p21(f11(X2,X3,X5,X6,X7,X4),X0)
| p3(X0,f11(f19(X1,X2,X3,X4,X0,X5,X6,X7),f18(X1,X2,X3,X4,X0,X5,X6,X7),f17(X1,X2,X3,X4,X0,X5,X6,X7),f16(X1,X2,X3,X4,X0,X5,X6,X7),f15(X1,X2,X3,X4,X0,X5,X6,X7),f14(X1,X2,X3,X4,X0,X5,X6,X7))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_48) ).
fof(f49,plain,
! [X0] :
( ~ p8(X0,c23)
| ~ p8(X0,c22) ),
inference(resolution,[],[f18,f10]) ).
fof(f51,plain,
! [X0,X1] :
( ~ p8(X1,c23)
| ~ p8(X1,X0)
| ~ p8(X0,c22) ),
inference(resolution,[],[f49,f18]) ).
fof(f53,plain,
! [X0] :
( ~ p8(c23,X0)
| ~ p8(X0,c22) ),
inference(resolution,[],[f51,f3]) ).
fof(f96,plain,
! [X0] : p8(c22,f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(resolution,[],[f36,f27]) ).
fof(f155,plain,
! [X0] : p3(f11(c29,c30,c31,c23,c32,c33),f11(f19(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f18(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f17(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f15(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f14(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),
inference(resolution,[],[f48,f27]) ).
fof(f232,plain,
! [X0] : p8(c23,f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(resolution,[],[f155,f31]) ).
fof(f257,plain,
! [X0] : ~ p8(f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c22),
inference(resolution,[],[f232,f53]) ).
fof(f261,plain,
! [X0,X1] :
( ~ p8(X0,c22)
| ~ p8(X0,f16(X1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)) ),
inference(resolution,[],[f257,f18]) ).
fof(f277,plain,
! [X0] : ~ p8(c22,f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(resolution,[],[f261,f3]) ).
fof(f279,plain,
$false,
inference(forward_subsumption_resolution,[],[f277,f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN654-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n026.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 16:42:57 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 3.47/1.28 % (4005426)Input is clausal, will run a generic CNF schedule.
% 3.47/1.28 % (4005432)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=557044645:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.28 % (4005437)dis-21_1_sil=8000:lcm=predicate:random_seed=4145619651: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)
% 3.47/1.28 % (4005434)lrs+10_1_sil=8000:sp=occurrence:random_seed=61213637:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.28 % (4005436)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1738713545:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.28 % (4005433)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2760622587:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.28 % (4005431)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=3403071039:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.28 % (4005435)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4036772229:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.28 % (4005436)First to succeed.
% 3.47/1.28 % (4005436)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4005426"
% 3.47/1.28 % (4005437)Instruction limit reached!
% 3.47/1.28 % (4005437)------------------------------
% 3.47/1.28 % (4005437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.28 % (4005437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.28 % (4005437)CaDiCaL version: 2.1.3
% 3.47/1.28 % (4005437)Termination reason: Instruction limit
% 3.47/1.28 % (4005437)Termination phase: Saturation
% 3.47/1.28 % (4005437)Time elapsed: 0.062 s
% 3.47/1.28 % (4005437)Peak memory usage: 88 MB
% 3.47/1.28 % (4005437)Instructions burned: 117 (million)
% 3.47/1.28 % (4005434)Instruction limit reached!
% 3.47/1.28 % (4005434)------------------------------
% 3.47/1.28 % (4005434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.28 % (4005434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.28 % (4005434)CaDiCaL version: 2.1.3
% 3.47/1.28 % (4005434)Termination reason: Instruction limit
% 3.47/1.28 % (4005434)Termination phase: Saturation
% 3.47/1.28 % (4005434)Time elapsed: 0.066 s
% 3.47/1.28 % (4005434)Peak memory usage: 88 MB
% 3.47/1.28 % (4005434)Instructions burned: 108 (million)
% 3.47/1.28 % (4005435)Instruction limit reached!
% 3.47/1.28 % (4005435)------------------------------
% 3.47/1.28 % (4005435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.28 % (4005435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.28 % (4005435)CaDiCaL version: 2.1.3
% 3.47/1.28 % (4005435)Termination reason: Instruction limit
% 3.47/1.28 % (4005435)Termination phase: Saturation
% 3.47/1.28 % (4005435)Time elapsed: 0.071 s
% 3.47/1.28 % (4005435)Peak memory usage: 88 MB
% 3.47/1.28 % (4005435)Instructions burned: 115 (million)
% 3.47/1.28 % (4005446)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1771527731: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)
% 3.47/1.28 % (4005445)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=884204321:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.47/1.28 % (4005447)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3644727048:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.47/1.28 % (4005436)Refutation found. Thanks to Tanya!
% 3.47/1.28 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.28 % (4005436)------------------------------
% 3.47/1.28 % (4005436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.28 % (4005436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.28 % (4005436)CaDiCaL version: 2.1.3
% 3.47/1.28 % (4005436)Termination reason: Refutation
% 3.47/1.28 % (4005436)Time elapsed: 0.013 s
% 3.47/1.28 % (4005436)Peak memory usage: 88 MB
% 3.47/1.28 % (4005436)Instructions burned: 19 (million)
% 3.47/1.28 % (4005436)------------------------------
% 3.47/1.28 % (4005436)------------------------------
% 3.47/1.28 % (4005426)Success in time 0.408 s
% 3.47/1.28 % Vampire exiting
%------------------------------------------------------------------------------