%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN138-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 01:49:45 PM UTC 2026
% Result : Unsatisfiable 2.83s 1.13s
% Output : Refutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 60 ( 17 unt; 5 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 139 ( 69 ~; 65 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f59,axiom,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ l0(X0)
| ~ k0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_021) ).
fof(f131,axiom,
! [X0,X1] :
( q1(X0,X0,X0)
| ~ q0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_093) ).
fof(f154,axiom,
! [X0] :
( q1(X0,X0,X0)
| ~ r0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_116) ).
fof(f162,axiom,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| ~ s0(d)
| ~ q1(d,X1,d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_124) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ m1(X2,X1,X0)
| k2(X0,X1)
| ~ k1(X3)
| ~ k2(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_129) ).
fof(f226,axiom,
! [X0] :
( r2(X0)
| ~ r1(X0)
| ~ l0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_188) ).
fof(f269,axiom,
! [X0,X1] :
( m3(X0,X1,X0)
| ~ r2(X0)
| ~ k2(c,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_231) ).
fof(f369,negated_conjecture,
~ m3(c,e,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f556,definition,
( spl0_55
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f557,plain,
( ~ s0(d)
| spl0_55 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f559,definition,
( spl0_56
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f560,plain,
( ! [X0,X1] :
( ~ q1(d,X1,d)
| r1(X0)
| ~ q0(X0,X1) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f561,plain,
( ~ spl0_55
| spl0_56 ),
inference(avatar_split_clause,[],[f162,f559,f556]) ).
fof(f1018,definition,
( spl0_185
<=> k2(c,e) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
fof(f1019,plain,
( ~ k2(c,e)
| spl0_185 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1042,definition,
( spl0_192
<=> r2(c) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
fof(f1043,plain,
( ~ r2(c)
| spl0_192 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1389,plain,
( $false
| spl0_55 ),
inference(forward_subsumption_resolution,[],[f557,f1]) ).
fof(f1390,plain,
spl0_55,
inference(avatar_contradiction_clause,[],[f1389]) ).
fof(f1478,plain,
k1(e),
inference(resolution,[],[f39,f3]) ).
fof(f1681,plain,
! [X0] :
( k2(X0,X0)
| ~ r0(X0) ),
inference(resolution,[],[f167,f154]) ).
fof(f2078,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q0(X0,d)
| ~ q0(X1,d) )
| ~ spl0_56 ),
inference(resolution,[],[f560,f131]) ).
fof(f2100,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q0(X1,d) )
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f2078,f17]) ).
fof(f2107,definition,
( spl0_298
<=> ! [X0] : r1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
fof(f2108,plain,
( ! [X0] : r1(X0)
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f2107]) ).
fof(f2132,plain,
( ! [X0] : r1(X0)
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f2100,f17]) ).
fof(f2137,plain,
( spl0_298
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f2132,f559,f2107]) ).
fof(f2146,plain,
( ! [X0] :
( r2(X0)
| ~ l0(X0) )
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f226,f2108]) ).
fof(f2151,plain,
( ~ l0(c)
| spl0_192
| ~ spl0_298 ),
inference(resolution,[],[f2146,f1043]) ).
fof(f2152,plain,
( $false
| spl0_192
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f2151,f24]) ).
fof(f2153,plain,
( spl0_192
| ~ spl0_298 ),
inference(avatar_contradiction_clause,[],[f2152]) ).
fof(f2161,plain,
( ~ r2(c)
| ~ k2(c,e) ),
inference(resolution,[],[f269,f369]) ).
fof(f2163,plain,
( ~ spl0_185
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f2161,f1042,f1018]) ).
fof(f2592,plain,
! [X2,X0,X1] :
( k2(X0,X1)
| ~ k1(X2)
| ~ k2(X2,X1)
| ~ l0(X0)
| ~ k0(X1) ),
inference(resolution,[],[f165,f59]) ).
fof(f3731,plain,
( ! [X0] :
( ~ k1(X0)
| ~ k2(X0,e)
| ~ l0(c)
| ~ k0(e) )
| spl0_185 ),
inference(resolution,[],[f2592,f1019]) ).
fof(f3734,plain,
( ! [X0] :
( ~ k1(X0)
| ~ k2(X0,e)
| ~ k0(e) )
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f3731,f24]) ).
fof(f3736,plain,
( ! [X0] :
( ~ k2(X0,e)
| ~ k1(X0) )
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f3734,f28]) ).
fof(f3776,plain,
( ~ k1(e)
| ~ r0(e)
| spl0_185 ),
inference(resolution,[],[f3736,f1681]) ).
fof(f3788,plain,
( ~ r0(e)
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f3776,f1478]) ).
fof(f3794,plain,
( $false
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f3788,f13]) ).
fof(f3795,plain,
spl0_185,
inference(avatar_contradiction_clause,[],[f3794]) ).
cnf(s23,plain,
( ~ spl0_55
| spl0_56 ),
inference(sat_conversion,[],[f561]) ).
cnf(s153,plain,
spl0_55,
inference(sat_conversion,[],[f1390]) ).
cnf(s316,plain,
( ~ spl0_56
| spl0_298 ),
inference(sat_conversion,[],[f2137]) ).
cnf(s320,plain,
( spl0_192
| ~ spl0_298 ),
inference(sat_conversion,[],[f2153]) ).
cnf(s322,plain,
( ~ spl0_185
| ~ spl0_192 ),
inference(sat_conversion,[],[f2163]) ).
cnf(s505,plain,
spl0_185,
inference(sat_conversion,[],[f3795]) ).
cnf(s521,plain,
~ spl0_192,
inference(rat,[],[s322,s505]) ).
cnf(s522,plain,
~ spl0_298,
inference(rat,[],[s320,s521]) ).
cnf(s523,plain,
~ spl0_56,
inference(rat,[],[s316,s522]) ).
cnf(s664,plain,
$false,
inference(rat,[],[s23,s523,s153]) ).
fof(f3800,plain,
$false,
inference(avatar_sat_refutation,[],[s664]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN138-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n005.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 15:36:16 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running first-order theorem proving
% 0.11/0.23 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
% 2.83/1.13 % (875482)Input is clausal, will run a generic CNF schedule.
% 2.83/1.13 % (875537)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=122743085:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.83/1.13 % (875537)First to succeed.
% 2.83/1.13 % (875537)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-875482"
% 2.83/1.13 % (875533)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2856006147:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.83/1.13 % (875531)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=320240677:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.83/1.13 % (875534)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2703196146:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.83/1.13 % (875540)dis-21_1_sil=8000:lcm=predicate:random_seed=896035294: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)
% 2.83/1.13 % (875538)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=905565075:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.83/1.13 % (875536)lrs+10_1_sil=8000:sp=occurrence:random_seed=261757900:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.83/1.13 % (875536)Refutation not found, incomplete strategy
% 2.83/1.13 % (875536)------------------------------
% 2.83/1.13 % (875536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.13 % (875536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.13 % (875536)CaDiCaL version: 2.1.3
% 2.83/1.13 % (875536)Termination reason: Refutation not found, incomplete strategy
% 2.83/1.13 % (875536)Time elapsed: 0.008 s
% 2.83/1.13 % (875536)Peak memory usage: 88 MB
% 2.83/1.13 % (875536)Instructions burned: 9 (million)
% 2.83/1.13 % (875540)Instruction limit reached!
% 2.83/1.13 % (875540)------------------------------
% 2.83/1.13 % (875540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.13 % (875540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.13 % (875540)CaDiCaL version: 2.1.3
% 2.83/1.13 % (875540)Termination reason: Instruction limit
% 2.83/1.13 % (875540)Termination phase: Saturation
% 2.83/1.13 % (875540)Time elapsed: 0.055 s
% 2.83/1.13 % (875540)Peak memory usage: 89 MB
% 2.83/1.13 % (875540)Instructions burned: 119 (million)
% 2.83/1.13 % (875538)Also succeeded, but the first one will report.
% 2.83/1.13 % (875537)Refutation found. Thanks to Tanya!
% 2.83/1.13 % SZS status Unsatisfiable for theBenchmark
% 2.83/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 2.83/1.14 % (875537)------------------------------
% 2.83/1.14 % (875537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.14 % (875537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.14 % (875537)CaDiCaL version: 2.1.3
% 2.83/1.14 % (875537)Termination reason: Refutation
% 2.83/1.14 % (875537)Time elapsed: 0.033 s
% 2.83/1.14 % (875537)Peak memory usage: 90 MB
% 2.83/1.14 % (875537)Instructions burned: 64 (million)
% 2.83/1.14 % (875537)------------------------------
% 2.83/1.14 % (875537)------------------------------
% 2.83/1.14 % (875482)Success in time 0.341 s
% 2.83/1.14 % Vampire exiting
%------------------------------------------------------------------------------