%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN235-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:49:59 PM UTC 2026
% Result : Unsatisfiable 2.96s 1.34s
% Output : Refutation 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f67,axiom,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ p0(X0,X1)
| ~ s0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_029) ).
fof(f214,axiom,
! [X0,X1] :
( p2(X0,X1,X0)
| ~ m1(X1,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_176) ).
fof(f253,axiom,
! [X0,X1] :
( ~ p2(X0,X1,X0)
| ~ r0(X0)
| l3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_215) ).
fof(f369,negated_conjecture,
~ l3(e,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2004,plain,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| l3(X0,X1)
| ~ r0(X0) ),
inference(resolution,[],[f253,f214]) ).
fof(f2271,plain,
! [X0,X1] :
( l3(X0,X1)
| ~ r0(X0)
| ~ p0(X1,X0)
| ~ s0(X1) ),
inference(resolution,[],[f2004,f67]) ).
fof(f4168,plain,
( ~ r0(e)
| ~ p0(b,e)
| ~ s0(b) ),
inference(resolution,[],[f2271,f369]) ).
fof(f4169,plain,
( ~ p0(b,e)
| ~ s0(b) ),
inference(forward_subsumption_resolution,[],[f4168,f13]) ).
fof(f4170,plain,
~ s0(b),
inference(forward_subsumption_resolution,[],[f4169,f14]) ).
fof(f4171,plain,
$false,
inference(forward_subsumption_resolution,[],[f4170,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN235-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.32 % Computer : n004.cluster.edu
% 0.28/0.32 % Model : x86_64 x86_64
% 0.28/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.32 % Memory : 8046.5625MB
% 0.28/0.32 % OS : Linux 6.8.0-71-generic
% 0.28/0.32 % CPULimit : 300
% 0.28/0.32 % WCLimit : 300
% 0.28/0.32 % DateTime : Mon Sep 28 15:38:37 UTC 2026
% 0.28/0.32 % CPUTime :
% 0.28/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.38 Running first-order theorem proving
% 0.28/0.38 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
% 2.96/1.34 % (475690)Input is clausal, will run a generic CNF schedule.
% 2.96/1.34 % (475809)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=270979880:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.96/1.34 % (475809)First to succeed.
% 2.96/1.34 % (475809)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-475690"
% 2.96/1.34 % (475813)dis-21_1_sil=8000:lcm=predicate:random_seed=18943427: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)
% 2.96/1.34 % (475805)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=777304975:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.96/1.34 % (475811)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2352756813:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.96/1.34 % (475806)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=42164764:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.96/1.34 % (475808)lrs+10_1_sil=8000:sp=occurrence:random_seed=3309616192:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.96/1.34 % (475807)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1784400709:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.96/1.34 % (475811)Also succeeded, but the first one will report.
% 2.96/1.34 % (475813)Instruction limit reached!
% 2.96/1.34 % (475813)------------------------------
% 2.96/1.34 % (475813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.34 % (475813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.34 % (475813)CaDiCaL version: 2.1.3
% 2.96/1.34 % (475813)Termination reason: Instruction limit
% 2.96/1.34 % (475813)Termination phase: Saturation
% 2.96/1.34 % (475813)Time elapsed: 0.055 s
% 2.96/1.34 % (475813)Peak memory usage: 89 MB
% 2.96/1.34 % (475813)Instructions burned: 118 (million)
% 2.96/1.34 % (475808)Also succeeded, but the first one will report.
% 2.96/1.34 % (475809)Refutation found. Thanks to Tanya!
% 2.96/1.34 % SZS status Unsatisfiable for theBenchmark
% 2.96/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 2.96/1.34 % (475809)------------------------------
% 2.96/1.34 % (475809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.34 % (475809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.34 % (475809)CaDiCaL version: 2.1.3
% 2.96/1.34 % (475809)Termination reason: Refutation
% 2.96/1.34 % (475809)Time elapsed: 0.027 s
% 2.96/1.34 % (475809)Peak memory usage: 89 MB
% 2.96/1.34 % (475809)Instructions burned: 71 (million)
% 2.96/1.34 % (475809)------------------------------
% 2.96/1.34 % (475809)------------------------------
% 2.96/1.34 % (475690)Success in time 0.324 s
% 2.96/1.34 % Vampire exiting
%------------------------------------------------------------------------------