%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN583-1 : 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 : n001.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 02:01:01 PM UTC 2026
% Result : Unsatisfiable 3.10s 1.25s
% Output : Refutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 20 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
fof(f3,negated_conjecture,
! [X0] : p5(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_3) ).
fof(f4,negated_conjecture,
p2(c13,c18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f7,negated_conjecture,
p11(f4(f6(c15,c13)),c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).
fof(f9,negated_conjecture,
~ p11(f4(f6(c15,c18)),c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_9) ).
fof(f14,negated_conjecture,
! [X0,X1] :
( p2(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
fof(f21,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p11(X2,X3)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| p11(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_21) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f6(X0,X1),f6(X2,X3))
| ~ p2(X1,X3)
| ~ p5(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_23) ).
fof(f87,plain,
! [X0,X1] :
( ~ p2(f4(f6(c15,c13)),X0)
| ~ p2(c16,X1)
| p11(X0,X1) ),
inference(resolution,[],[f21,f7]) ).
fof(f192,plain,
! [X0,X1] :
( ~ p2(f6(c15,c13),X1)
| p11(f4(X1),X0)
| ~ p2(c16,X0) ),
inference(resolution,[],[f87,f14]) ).
fof(f509,plain,
! [X2,X0,X1] :
( p11(f4(f6(X0,X1)),X2)
| ~ p2(c16,X2)
| ~ p2(c13,X1)
| ~ p5(c15,X0) ),
inference(resolution,[],[f192,f23]) ).
fof(f3348,plain,
( ~ p2(c16,c16)
| ~ p2(c13,c18)
| ~ p5(c15,c15) ),
inference(resolution,[],[f509,f9]) ).
fof(f3353,plain,
( ~ p2(c13,c18)
| ~ p5(c15,c15) ),
inference(forward_subsumption_resolution,[],[f3348,f2]) ).
fof(f3354,plain,
~ p5(c15,c15),
inference(forward_subsumption_resolution,[],[f3353,f4]) ).
fof(f3355,plain,
$false,
inference(forward_subsumption_resolution,[],[f3354,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN583-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n001.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:35:48 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.10/1.25 % (476169)Input is clausal, will run a generic CNF schedule.
% 3.10/1.25 % (476276)lrs+10_1_sil=8000:sp=occurrence:random_seed=3330805045:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.10/1.25 % (476275)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1896604885:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.10/1.25 % (476273)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=1328624467:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.10/1.25 % (476274)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4263166695:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.10/1.25 % (476276)First to succeed.
% 3.10/1.25 % (476276)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-476169"
% 3.10/1.25 % (476277)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1374790038:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.10/1.25 % (476277)Also succeeded, but the first one will report.
% 3.10/1.25 % (476278)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1447617679:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.10/1.25 % (476279)dis-21_1_sil=8000:lcm=predicate:random_seed=722500396: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)
% 3.10/1.25 % (476279)Also succeeded, but the first one will report.
% 3.10/1.25 % (476278)Also succeeded, but the first one will report.
% 3.10/1.25 % (476276)Refutation found. Thanks to Tanya!
% 3.10/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.10/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.10/1.25 % (476276)------------------------------
% 3.10/1.25 % (476276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.25 % (476276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.25 % (476276)CaDiCaL version: 2.1.3
% 3.10/1.25 % (476276)Termination reason: Refutation
% 3.10/1.25 % (476276)Time elapsed: 0.036 s
% 3.10/1.25 % (476276)Peak memory usage: 89 MB
% 3.10/1.25 % (476276)Instructions burned: 105 (million)
% 3.10/1.25 % (476276)------------------------------
% 3.10/1.25 % (476276)------------------------------
% 3.10/1.25 % (476169)Success in time 0.356 s
% 3.10/1.25 % Vampire exiting
%------------------------------------------------------------------------------