%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN248-1 : 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 : 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 01:50:00 PM UTC 2026
% Result : Unsatisfiable 3.61s 1.37s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 10 unt; 2 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 23 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f72,axiom,
! [X0,X1] :
( m1(X0,X1,X1)
| ~ k1(a)
| ~ k1(X1)
| ~ q0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_034) ).
fof(f369,negated_conjecture,
~ m1(d,c,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f1023,definition,
( spl0_184
<=> k1(a) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1024,plain,
( ~ k1(a)
| spl0_184 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1026,definition,
( spl0_185
<=> ! [X0,X1] :
( m1(X0,X1,X1)
| ~ q0(X0,X0)
| ~ k1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
fof(f1027,plain,
( ! [X0,X1] :
( ~ k1(X1)
| ~ q0(X0,X0)
| m1(X0,X1,X1) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1028,plain,
( ~ spl0_184
| spl0_185 ),
inference(avatar_split_clause,[],[f72,f1026,f1023]) ).
fof(f1743,plain,
( ! [X0] : ~ n0(X0,a)
| spl0_184 ),
inference(resolution,[],[f1024,f39]) ).
fof(f1761,plain,
( $false
| spl0_184 ),
inference(resolution,[],[f1743,f37]) ).
fof(f1762,plain,
spl0_184,
inference(avatar_contradiction_clause,[],[f1761]) ).
fof(f1806,plain,
( ! [X2,X0,X1] :
( ~ n0(X2,X1)
| m1(X0,X1,X1)
| ~ q0(X0,X0) )
| ~ spl0_185 ),
inference(resolution,[],[f1027,f39]) ).
fof(f1868,plain,
( ! [X0] :
( ~ q0(X0,X0)
| m1(X0,c,c) )
| ~ spl0_185 ),
inference(resolution,[],[f1806,f26]) ).
fof(f1938,plain,
( m1(d,c,c)
| ~ spl0_185 ),
inference(resolution,[],[f1868,f17]) ).
fof(f1940,plain,
( $false
| ~ spl0_185 ),
inference(resolution,[],[f1938,f369]) ).
fof(f1941,plain,
~ spl0_185,
inference(avatar_contradiction_clause,[],[f1940]) ).
cnf(s100,plain,
( ~ spl0_184
| spl0_185 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s232,plain,
spl0_184,
inference(sat_conversion,[],[f1762]) ).
cnf(s261,plain,
~ spl0_185,
inference(sat_conversion,[],[f1941]) ).
cnf(s297,plain,
$false,
inference(rat,[],[s100,s261,s232]) ).
fof(f1942,plain,
$false,
inference(avatar_sat_refutation,[],[s297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN248-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n016.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 15:44:05 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running first-order theorem proving
% 0.06/0.23 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
% 3.61/1.37 % (3721069)Input is clausal, will run a generic CNF schedule.
% 3.61/1.37 % (3721086)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=1981764140:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.61/1.37 % (3721089)lrs+10_1_sil=8000:sp=occurrence:random_seed=3208908894:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.61/1.37 % (3721091)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2075816914:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.61/1.37 % (3721092)dis-21_1_sil=8000:lcm=predicate:random_seed=1442998936: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)
% 3.61/1.37 % (3721087)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1379250410:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.61/1.37 % (3721090)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3835440648:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.61/1.37 % (3721088)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=110758757:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.61/1.37 % (3721089)Refutation not found, incomplete strategy
% 3.61/1.37 % (3721089)------------------------------
% 3.61/1.37 % (3721089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.37 % (3721089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.37 % (3721089)CaDiCaL version: 2.1.3
% 3.61/1.37 % (3721089)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.37 % (3721089)Time elapsed: 0.002 s
% 3.61/1.37 % (3721089)Peak memory usage: 88 MB
% 3.61/1.37 % (3721089)Instructions burned: 1 (million)
% 3.61/1.37 % (3721092)First to succeed.
% 3.61/1.37 % (3721091)Also succeeded, but the first one will report.
% 3.61/1.37 % (3721092)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3721069"
% 3.61/1.37 % (3721090)Also succeeded, but the first one will report.
% 3.61/1.37 % (3721089)------------------------------
% 3.61/1.37 % (3721089)------------------------------
% 3.61/1.37 % (3721092)Refutation found. Thanks to Tanya!
% 3.61/1.37 % SZS status Unsatisfiable for theBenchmark
% 3.61/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.37 % (3721092)------------------------------
% 3.61/1.37 % (3721092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.37 % (3721092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.37 % (3721092)CaDiCaL version: 2.1.3
% 3.61/1.37 % (3721092)Termination reason: Refutation
% 3.61/1.37 % (3721092)Time elapsed: 0.019 s
% 3.61/1.37 % (3721092)Peak memory usage: 90 MB
% 3.61/1.37 % (3721092)Instructions burned: 28 (million)
% 3.61/1.37 % (3721092)------------------------------
% 3.61/1.37 % (3721092)------------------------------
% 3.61/1.37 % (3721069)Success in time 0.411 s
% 3.61/1.37 % Vampire exiting
%------------------------------------------------------------------------------