%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN596-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 02:01:02 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.20s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 19 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( p10(X0,X1)
| ~ p10(X2,X0)
| ~ p10(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_15) ).
fof(f20,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_20) ).
fof(f21,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p18_21) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( p18(X0,X1)
| ~ p18(X2,X3)
| ~ p2(X2,X0)
| ~ p10(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_23) ).
fof(f28,negated_conjecture,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_28) ).
fof(f29,plain,
! [X0,X1] :
( ~ p10(X1,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24))
| ~ p2(X0,c20)
| ~ p18(X0,X1) ),
inference(resolution,[],[f23,f21]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ p10(X2,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24))
| ~ p18(X0,X1)
| ~ p10(X2,X1)
| ~ p2(X0,c20) ),
inference(resolution,[],[f29,f15]) ).
fof(f34,plain,
! [X0,X1] :
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),X1)
| ~ p18(X0,X1)
| ~ p2(X0,c20) ),
inference(resolution,[],[f31,f1]) ).
fof(f41,plain,
! [X0] :
( ~ p18(X0,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
| ~ p2(X0,c20) ),
inference(resolution,[],[f34,f28]) ).
fof(f48,plain,
~ p2(c20,c20),
inference(resolution,[],[f41,f20]) ).
fof(f50,plain,
$false,
inference(forward_subsumption_resolution,[],[f48,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN596-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n016.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.23 % CPULimit : 300
% 0.08/0.23 % WCLimit : 300
% 0.08/0.23 % DateTime : Mon Sep 28 16:39:05 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.26 Running first-order theorem proving
% 0.19/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/1.20 % (3752005)Input is clausal, will run a generic CNF schedule.
% 0.19/1.20 % (3752014)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4249173078:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.20 % (3752014)First to succeed.
% 0.19/1.20 % (3752014)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3752005"
% 0.19/1.20 % (3752015)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2558930417:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.20 % (3752013)lrs+10_1_sil=8000:sp=occurrence:random_seed=2079825431:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.20 % (3752012)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=433159190:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.20 % (3752011)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3813047151:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.20 % (3752016)dis-21_1_sil=8000:lcm=predicate:random_seed=3200647851: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)
% 0.19/1.20 % (3752010)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=2730337978:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.20 % (3752015)Also succeeded, but the first one will report.
% 0.19/1.20 % (3752016)Also succeeded, but the first one will report.
% 0.19/1.20 % (3752013)Also succeeded, but the first one will report.
% 0.19/1.20 % (3752014)Refutation found. Thanks to Tanya!
% 0.19/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.20 % (3752014)------------------------------
% 0.19/1.20 % (3752014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20 % (3752014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20 % (3752014)CaDiCaL version: 2.1.3
% 0.19/1.20 % (3752014)Termination reason: Refutation
% 0.19/1.20 % (3752014)Time elapsed: 0.002 s
% 0.19/1.20 % (3752014)Peak memory usage: 88 MB
% 0.19/1.20 % (3752014)Instructions burned: 2 (million)
% 0.19/1.20 % (3752014)------------------------------
% 0.19/1.20 % (3752014)------------------------------
% 0.19/1.20 % (3752005)Success in time 0.295 s
% 0.19/1.20 % Vampire exiting
%------------------------------------------------------------------------------