%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN301-1 : 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 : n010.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 01:50:08 PM UTC 2026
% Result : Unsatisfiable 2.94s 1.37s
% Output : Refutation 2.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 35 ( 13 unt; 2 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 38 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).
fof(f42,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ k1(X0)
| ~ l0(X1)
| ~ l1(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_004) ).
fof(f123,axiom,
! [X0,X1] :
( p1(X0,X0,X0)
| ~ p0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).
fof(f282,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_244) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( ~ p3(X1,X2,X3)
| s4(X0)
| ~ l1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_299) ).
fof(f369,negated_conjecture,
~ s4(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f1069,definition,
( spl0_199
<=> ! [X1] :
( ~ l0(X1)
| ~ l1(X1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
fof(f1070,plain,
( ! [X1] :
( ~ l1(X1,X1)
| ~ l0(X1) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1072,definition,
( spl0_200
<=> ! [X0] :
( l1(X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
fof(f1073,plain,
( ! [X0] :
( l1(X0,X0)
| ~ k1(X0) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1074,plain,
( spl0_199
| spl0_200 ),
inference(avatar_split_clause,[],[f42,f1072,f1069]) ).
fof(f1484,plain,
k1(a),
inference(resolution,[],[f39,f37]) ).
fof(f1553,plain,
( ! [X0,X1] :
( ~ n0(X0,X1)
| ~ l0(X1) )
| ~ spl0_199 ),
inference(resolution,[],[f40,f1070]) ).
fof(f1571,plain,
( ~ l0(c)
| ~ spl0_199 ),
inference(resolution,[],[f1553,f26]) ).
fof(f1579,plain,
( $false
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f1571,f24]) ).
fof(f1580,plain,
~ spl0_199,
inference(avatar_contradiction_clause,[],[f1579]) ).
fof(f1657,plain,
! [X0,X1] :
( ~ p0(X0,X1)
| n2(X1) ),
inference(resolution,[],[f123,f175]) ).
fof(f1686,plain,
! [X0] : n2(X0),
inference(resolution,[],[f1657,f14]) ).
fof(f2018,plain,
! [X0,X1] :
( s4(X0)
| ~ l1(X0,X1)
| ~ n2(X1) ),
inference(resolution,[],[f337,f282]) ).
fof(f2019,plain,
! [X0,X1] :
( ~ l1(X0,X1)
| s4(X0) ),
inference(forward_subsumption_resolution,[],[f2018,f1686]) ).
fof(f2147,plain,
( ! [X0] :
( s4(X0)
| ~ k1(X0) )
| ~ spl0_200 ),
inference(resolution,[],[f2019,f1073]) ).
fof(f2178,plain,
( ~ k1(a)
| ~ spl0_200 ),
inference(resolution,[],[f2147,f369]) ).
fof(f2182,plain,
( $false
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[],[f2178,f1484]) ).
fof(f2183,plain,
~ spl0_200,
inference(avatar_contradiction_clause,[],[f2182]) ).
cnf(s100,plain,
( spl0_199
| spl0_200 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s229,plain,
~ spl0_199,
inference(sat_conversion,[],[f1580]) ).
cnf(s327,plain,
~ spl0_200,
inference(sat_conversion,[],[f2183]) ).
cnf(s376,plain,
$false,
inference(rat,[],[s100,s327,s229]) ).
fof(f2184,plain,
$false,
inference(avatar_sat_refutation,[],[s376]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN301-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n010.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Mon Sep 28 15:40:47 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.27 Running first-order theorem proving
% 0.10/0.27 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
% 2.94/1.37 % (2023453)Input is clausal, will run a generic CNF schedule.
% 2.94/1.37 % (2023517)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1815033114:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.94/1.37 % (2023517)First to succeed.
% 2.94/1.37 % (2023517)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2023453"
% 2.94/1.37 % (2023519)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1580386873:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.94/1.37 % (2023514)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=419041336:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.94/1.37 % (2023520)dis-21_1_sil=8000:lcm=predicate:random_seed=1772880033: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)
% 2.94/1.37 % (2023511)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=3391475795:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.94/1.37 % (2023512)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2952712546:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.94/1.37 % (2023515)lrs+10_1_sil=8000:sp=occurrence:random_seed=2935820623:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.94/1.37 % (2023519)Also succeeded, but the first one will report.
% 2.94/1.37 % (2023515)Refutation not found, incomplete strategy
% 2.94/1.37 % (2023515)------------------------------
% 2.94/1.37 % (2023515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.37 % (2023515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.37 % (2023515)CaDiCaL version: 2.1.3
% 2.94/1.37 % (2023515)Termination reason: Refutation not found, incomplete strategy
% 2.94/1.37 % (2023515)Time elapsed: 0.021 s
% 2.94/1.37 % (2023515)Peak memory usage: 89 MB
% 2.94/1.37 % (2023515)Instructions burned: 29 (million)
% 2.94/1.37 % (2023520)Instruction limit reached!
% 2.94/1.37 % (2023520)------------------------------
% 2.94/1.37 % (2023520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.37 % (2023520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.37 % (2023520)CaDiCaL version: 2.1.3
% 2.94/1.37 % (2023520)Termination reason: Instruction limit
% 2.94/1.37 % (2023520)Termination phase: Saturation
% 2.94/1.37 % (2023520)Time elapsed: 0.057 s
% 2.94/1.37 % (2023520)Peak memory usage: 89 MB
% 2.94/1.37 % (2023520)Instructions burned: 120 (million)
% 2.94/1.37 % (2023517)Refutation found. Thanks to Tanya!
% 2.94/1.37 % SZS status Unsatisfiable for theBenchmark
% 2.94/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.94/1.37 % (2023517)------------------------------
% 2.94/1.37 % (2023517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.37 % (2023517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.37 % (2023517)CaDiCaL version: 2.1.3
% 2.94/1.37 % (2023517)Termination reason: Refutation
% 2.94/1.37 % (2023517)Time elapsed: 0.012 s
% 2.94/1.37 % (2023517)Peak memory usage: 90 MB
% 2.94/1.37 % (2023517)Instructions burned: 32 (million)
% 2.94/1.37 % (2023517)------------------------------
% 2.94/1.37 % (2023517)------------------------------
% 2.94/1.37 % (2023453)Success in time 0.316 s
% 2.94/1.37 % Vampire exiting
%------------------------------------------------------------------------------