%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN649-1 : 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 3.66s 1.28s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 3 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 44 ( 26 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,negated_conjecture,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_26) ).
fof(f38,negated_conjecture,
! [X0] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),c29)
| ~ p23(f5(c24,c25),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p23_38) ).
fof(f39,negated_conjecture,
! [X0,X1] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),X1)
| p23(f5(c24,X0),f14(f22(c33,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_39) ).
fof(f40,negated_conjecture,
! [X2,X3,X0,X1] :
( p23(f5(X0,f14(f16(f18(f20(c30,X1),X2),X0),X3)),X3)
| ~ p23(f5(f7(f10(c26,f12(c27,X1)),X0),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_40) ).
fof(f41,negated_conjecture,
! [X0,X1] :
( p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X0),X1)),X0)
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_41) ).
fof(f42,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3)
| ~ p23(f5(X1,X4),X3)
| ~ p23(f5(f7(f10(c26,X0),X1),X2),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_42) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1] :
( p23(f5(f7(f10(c26,X0),X1),X2),f14(f16(f18(f20(c30,X0),X2),X1),X3))
| ~ p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_44) ).
fof(f58,plain,
! [X0,X1] :
( ~ p23(f5(f7(f10(c26,c28),c24),X1),X0)
| ~ p23(f5(c24,X0),c29)
| ~ p23(f5(c24,c25),X1) ),
inference(resolution,[],[f42,f38]) ).
fof(f62,plain,
! [X0,X1] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X0)
| ~ p23(f5(c24,c25),f14(f22(c33,X0),X1))
| ~ p23(f5(c24,X0),c29) ),
inference(resolution,[],[f58,f41]) ).
fof(f67,plain,
! [X0,X1] :
( p23(f5(c24,X0),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),X0),c24),X1)),X0))
| ~ p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),X0),X1) ),
inference(resolution,[],[f44,f39]) ).
fof(f121,plain,
! [X0,X1] :
( ~ p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),X0),c24),X1)),X0))
| ~ p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),X0),c24),X1)),c29)
| ~ p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),X0),X1) ),
inference(resolution,[],[f62,f44]) ).
fof(f496,plain,
! [X0] :
( ~ p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),X0)),c29)
| ~ p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),X0)
| ~ p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),X0) ),
inference(resolution,[],[f121,f67]) ).
fof(f504,plain,
! [X0] :
( ~ p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),X0)),c29)
| ~ p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),X0) ),
inference(duplicate_literal_removal,[],[f496]) ).
fof(f801,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29)
| ~ p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29) ),
inference(resolution,[],[f504,f40]) ).
fof(f803,plain,
~ p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
inference(duplicate_literal_removal,[],[f801]) ).
fof(f804,plain,
$false,
inference(forward_subsumption_resolution,[],[f803,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN649-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n026.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 16:42:27 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.66/1.28 % (4004595)Input is clausal, will run a generic CNF schedule.
% 3.66/1.28 % (4004602)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1568233066:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.66/1.28 % (4004600)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=1187606394:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.66/1.28 % (4004606)dis-21_1_sil=8000:lcm=predicate:random_seed=3970433168: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)
% 3.66/1.28 % (4004603)lrs+10_1_sil=8000:sp=occurrence:random_seed=454487460:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.66/1.28 % (4004604)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1669591566:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.66/1.28 % (4004601)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2632033052:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.66/1.28 % (4004605)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2567624396:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.66/1.28 % (4004604)First to succeed.
% 3.66/1.28 % (4004604)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4004595"
% 3.66/1.28 % (4004605)Also succeeded, but the first one will report.
% 3.66/1.28 % (4004603)Instruction limit reached!
% 3.66/1.28 % (4004603)------------------------------
% 3.66/1.28 % (4004603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.28 % (4004603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.28 % (4004603)CaDiCaL version: 2.1.3
% 3.66/1.28 % (4004603)Termination reason: Instruction limit
% 3.66/1.28 % (4004603)Termination phase: Saturation
% 3.66/1.28 % (4004603)Time elapsed: 0.068 s
% 3.66/1.28 % (4004603)Peak memory usage: 89 MB
% 3.66/1.28 % (4004603)Instructions burned: 108 (million)
% 3.66/1.28 % (4004606)Instruction limit reached!
% 3.66/1.28 % (4004606)------------------------------
% 3.66/1.28 % (4004606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.28 % (4004606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.28 % (4004606)CaDiCaL version: 2.1.3
% 3.66/1.28 % (4004606)Termination reason: Instruction limit
% 3.66/1.28 % (4004606)Termination phase: Saturation
% 3.66/1.28 % (4004606)Time elapsed: 0.069 s
% 3.66/1.28 % (4004606)Peak memory usage: 88 MB
% 3.66/1.28 % (4004606)Instructions burned: 117 (million)
% 3.66/1.28 % (4004614)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=1881162587:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.66/1.28 % (4004615)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=299686987: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)
% 3.66/1.28 % (4004615)Also succeeded, but the first one will report.
% 3.66/1.28 % (4004604)Refutation found. Thanks to Tanya!
% 3.66/1.28 % SZS status Unsatisfiable for theBenchmark
% 3.66/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.28 % (4004604)------------------------------
% 3.66/1.28 % (4004604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.28 % (4004604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.28 % (4004604)CaDiCaL version: 2.1.3
% 3.66/1.28 % (4004604)Termination reason: Refutation
% 3.66/1.28 % (4004604)Time elapsed: 0.030 s
% 3.66/1.28 % (4004604)Peak memory usage: 88 MB
% 3.66/1.28 % (4004604)Instructions burned: 44 (million)
% 3.66/1.28 % (4004604)------------------------------
% 3.66/1.28 % (4004604)------------------------------
% 3.66/1.28 % (4004595)Success in time 0.436 s
% 3.66/1.28 % Vampire exiting
%------------------------------------------------------------------------------