%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN556-1 : 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 : n006.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 02:00:57 PM UTC 2026
% Result : Unsatisfiable 2.51s 1.12s
% Output : Refutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 82 ( 47 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_2) ).
fof(f3,negated_conjecture,
p2(c10,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).
fof(f6,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f7,negated_conjecture,
! [X2,X0,X1] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
fof(f8,negated_conjecture,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
fof(f9,negated_conjecture,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_9) ).
fof(f10,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f5(X0,X1),f5(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
fof(f11,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f8(X0,X1),f8(X2,X3))
| ~ p2(X1,X3)
| ~ p3(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
fof(f12,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( p3(f4(X0,X1,X2),f4(X3,X4,X5))
| ~ p2(X1,X4)
| ~ p3(X2,X5)
| ~ p2(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_12) ).
fof(f13,plain,
! [X0] :
( ~ p3(X0,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(X0,c9) ),
inference(resolution,[],[f9,f7]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ p2(X1,f5(f8(c11,c10),f6(f7(c12))))
| ~ p3(f4(X0,X1,X2),c9)
| ~ p3(X2,c11)
| ~ p2(X0,c10) ),
inference(resolution,[],[f13,f12]) ).
fof(f24,plain,
! [X2,X3,X0,X1] :
( ~ p3(f4(X0,f5(X1,X2),X3),c9)
| ~ p3(X3,c11)
| ~ p2(X0,c10)
| ~ p2(X1,f8(c11,c10))
| ~ p2(X2,f6(f7(c12))) ),
inference(resolution,[],[f16,f10]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X4] :
( ~ p3(X4,f4(X1,f5(X2,X3),X0))
| ~ p2(X1,c10)
| ~ p2(X2,f8(c11,c10))
| ~ p2(X3,f6(f7(c12)))
| ~ p3(X0,c11)
| ~ p3(X4,c9) ),
inference(resolution,[],[f24,f7]) ).
fof(f110,plain,
( ~ p2(c13,c10)
| ~ p2(f8(c11,c13),f8(c11,c10))
| ~ p2(f6(f7(c12)),f6(f7(c12)))
| ~ p3(c11,c11)
| ~ p3(c9,c9) ),
inference(resolution,[],[f49,f8]) ).
fof(f112,plain,
( ~ p2(c13,c10)
| ~ p2(f6(f7(c12)),f6(f7(c12)))
| ~ p3(c11,c11)
| ~ p3(c9,c9) ),
inference(forward_subsumption_resolution,[],[f110,f11]) ).
fof(f113,plain,
( ~ p2(c13,c10)
| ~ p3(c11,c11)
| ~ p3(c9,c9) ),
inference(forward_subsumption_resolution,[],[f112,f1]) ).
fof(f114,plain,
( ~ p2(c13,c10)
| ~ p3(c11,c11) ),
inference(forward_subsumption_resolution,[],[f113,f2]) ).
fof(f115,plain,
~ p2(c13,c10),
inference(forward_subsumption_resolution,[],[f114,f2]) ).
fof(f116,plain,
! [X0] :
( ~ p2(X0,c13)
| ~ p2(X0,c10) ),
inference(resolution,[],[f115,f6]) ).
fof(f125,plain,
~ p2(c10,c10),
inference(resolution,[],[f116,f3]) ).
fof(f126,plain,
$false,
inference(forward_subsumption_resolution,[],[f125,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN556-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n006.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 16:28:10 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 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
% 2.51/1.12 % (4094766)Input is clausal, will run a generic CNF schedule.
% 2.51/1.12 % (4094841)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4164436201:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.51/1.12 % (4094841)First to succeed.
% 2.51/1.12 % (4094841)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4094766"
% 2.51/1.12 % (4094840)lrs+10_1_sil=8000:sp=occurrence:random_seed=898587513:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.51/1.12 % (4094839)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3087879934:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.51/1.12 % (4094838)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4230209273:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.51/1.12 % (4094837)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=2429084748:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.51/1.12 % (4094843)dis-21_1_sil=8000:lcm=predicate:random_seed=3680820517: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)
% 2.51/1.12 % (4094842)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3108266466:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.51/1.12 % (4094842)Also succeeded, but the first one will report.
% 2.51/1.12 % (4094843)Also succeeded, but the first one will report.
% 2.51/1.12 % (4094840)Instruction limit reached!
% 2.51/1.12 % (4094840)------------------------------
% 2.51/1.12 % (4094840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/1.12 % (4094840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/1.12 % (4094840)CaDiCaL version: 2.1.3
% 2.51/1.12 % (4094840)Termination reason: Instruction limit
% 2.51/1.12 % (4094840)Termination phase: Saturation
% 2.51/1.12 % (4094840)Time elapsed: 0.058 s
% 2.51/1.12 % (4094840)Peak memory usage: 89 MB
% 2.51/1.12 % (4094840)Instructions burned: 107 (million)
% 2.51/1.12 % (4094841)Refutation found. Thanks to Tanya!
% 2.51/1.12 % SZS status Unsatisfiable for theBenchmark
% 2.51/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 2.51/1.12 % (4094841)------------------------------
% 2.51/1.12 % (4094841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/1.12 % (4094841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/1.12 % (4094841)CaDiCaL version: 2.1.3
% 2.51/1.12 % (4094841)Termination reason: Refutation
% 2.51/1.12 % (4094841)Time elapsed: 0.003 s
% 2.51/1.12 % (4094841)Peak memory usage: 88 MB
% 2.51/1.12 % (4094841)Instructions burned: 6 (million)
% 2.51/1.12 % (4094841)------------------------------
% 2.51/1.12 % (4094841)------------------------------
% 2.51/1.12 % (4094766)Success in time 0.263 s
% 2.51/1.12 % Vampire exiting
%------------------------------------------------------------------------------