%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN144-1 : 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 : 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 01:49:46 PM UTC 2026
% Result : Unsatisfiable 3.78s 1.33s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 34 ( 12 unt; 1 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 81 ( 42 ~; 38 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 2 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
fof(f45,axiom,
! [X2,X0,X1] :
( ~ p0(X2,X1)
| m1(X0,X1,X0)
| ~ r0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_007) ).
fof(f113,axiom,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_075) ).
fof(f184,axiom,
! [X2,X3,X0,X1] :
( ~ p2(X0,X1,X0)
| ~ p1(X0,X2,X3)
| ~ l1(X2,X3)
| p2(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_146) ).
fof(f214,axiom,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_176) ).
fof(f305,axiom,
! [X2,X0,X1] :
( ~ p2(X0,X2,X1)
| r3(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_267) ).
fof(f323,axiom,
! [X0,X1] :
( ~ r3(X1,X0,X1)
| ~ r0(X0)
| p4(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_285) ).
fof(f341,axiom,
! [X2,X0,X1] :
( ~ p4(X0,X2,X1)
| ~ r0(X0)
| m5(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_303) ).
fof(f369,negated_conjecture,
~ m5(e,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f510,plain,
p1(a,a,a),
inference(forward_subsumption_resolution,[],[f113,f14]) ).
fof(f721,plain,
l1(a,a),
inference(resolution,[],[f40,f37]) ).
fof(f935,plain,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ r0(X0) ),
inference(resolution,[],[f45,f14]) ).
fof(f1484,plain,
! [X0,X1] :
( p2(X1,X0,X1)
| ~ r0(X0) ),
inference(resolution,[],[f935,f214]) ).
fof(f1612,plain,
! [X2,X3,X0,X1] :
( ~ p1(X1,X2,X3)
| ~ r0(X0)
| ~ l1(X2,X3)
| p2(X1,X0,X0) ),
inference(resolution,[],[f1484,f184]) ).
fof(f2028,plain,
! [X0] :
( ~ r0(X0)
| ~ l1(a,a)
| p2(a,X0,X0) ),
inference(resolution,[],[f1612,f510]) ).
fof(f2060,definition,
( spl0_156
<=> ! [X0] :
( ~ r0(X0)
| p2(a,X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f2061,plain,
( ! [X0] :
( p2(a,X0,X0)
| ~ r0(X0) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f2060]) ).
fof(f2069,plain,
! [X0] :
( ~ r0(X0)
| p2(a,X0,X0) ),
inference(forward_subsumption_resolution,[],[f2028,f721]) ).
fof(f2077,plain,
spl0_156,
inference(avatar_split_clause,[],[f2069,f2060]) ).
fof(f2105,plain,
( ! [X0] :
( r3(a,X0,a)
| ~ r0(X0) )
| ~ spl0_156 ),
inference(resolution,[],[f2061,f305]) ).
fof(f2259,plain,
( ! [X0] :
( ~ r0(X0)
| ~ r0(X0)
| p4(X0,X0,a) )
| ~ spl0_156 ),
inference(resolution,[],[f2105,f323]) ).
fof(f2261,plain,
( ! [X0] :
( p4(X0,X0,a)
| ~ r0(X0) )
| ~ spl0_156 ),
inference(duplicate_literal_removal,[],[f2259]) ).
fof(f2368,plain,
( ! [X0] :
( ~ r0(X0)
| ~ r0(X0)
| m5(X0,a) )
| ~ spl0_156 ),
inference(resolution,[],[f2261,f341]) ).
fof(f2371,plain,
( ! [X0] :
( m5(X0,a)
| ~ r0(X0) )
| ~ spl0_156 ),
inference(duplicate_literal_removal,[],[f2368]) ).
fof(f2558,plain,
( ~ r0(e)
| ~ spl0_156 ),
inference(resolution,[],[f2371,f369]) ).
fof(f2559,plain,
( $false
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f2558,f13]) ).
fof(f2560,plain,
~ spl0_156,
inference(avatar_contradiction_clause,[],[f2559]) ).
cnf(s131,plain,
spl0_156,
inference(sat_conversion,[],[f2077]) ).
cnf(s147,plain,
~ spl0_156,
inference(sat_conversion,[],[f2560]) ).
cnf(s149,plain,
$false,
inference(rat,[],[s131,s147]) ).
fof(f2561,plain,
$false,
inference(avatar_sat_refutation,[],[s149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN144-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 % Computer : n006.cluster.edu
% 0.11/0.22 % Model : x86_64 x86_64
% 0.11/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22 % Memory : 8046.5625MB
% 0.11/0.22 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Mon Sep 28 15:36:25 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 Running first-order theorem proving
% 0.11/0.26 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
% 3.78/1.33 % (4062112)Input is clausal, will run a generic CNF schedule.
% 3.78/1.33 % (4062246)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=212919944:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.78/1.33 % (4062248)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1253282947:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.78/1.33 % (4062250)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3846593306:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.78/1.33 % (4062247)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1657628600:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.78/1.33 % (4062249)lrs+10_1_sil=8000:sp=occurrence:random_seed=675503933:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.78/1.33 % (4062252)dis-21_1_sil=8000:lcm=predicate:random_seed=2314762541: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)
% 3.78/1.33 % (4062251)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3214258397:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.78/1.33 % (4062249)First to succeed.
% 3.78/1.33 % (4062249)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4062112"
% 3.78/1.33 % (4062250)Also succeeded, but the first one will report.
% 3.78/1.33 % (4062251)Also succeeded, but the first one will report.
% 3.78/1.33 % (4062252)Instruction limit reached!
% 3.78/1.33 % (4062252)------------------------------
% 3.78/1.33 % (4062252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.33 % (4062252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.33 % (4062252)CaDiCaL version: 2.1.3
% 3.78/1.33 % (4062252)Termination reason: Instruction limit
% 3.78/1.33 % (4062252)Termination phase: Saturation
% 3.78/1.33 % (4062252)Time elapsed: 0.056 s
% 3.78/1.33 % (4062252)Peak memory usage: 89 MB
% 3.78/1.33 % (4062252)Instructions burned: 119 (million)
% 3.78/1.33 % (4062260)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2369414616:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.78/1.33 % (4062260)Refutation not found, incomplete strategy
% 3.78/1.33 % (4062260)------------------------------
% 3.78/1.33 % (4062260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.33 % (4062260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.33 % (4062260)CaDiCaL version: 2.1.3
% 3.78/1.33 % (4062260)Termination reason: Refutation not found, incomplete strategy
% 3.78/1.33 % (4062260)Time elapsed: 0.002 s
% 3.78/1.33 % (4062260)Peak memory usage: 87 MB
% 3.78/1.33 % (4062260)Instructions burned: 1 (million)
% 3.78/1.33 % (4062249)Refutation found. Thanks to Tanya!
% 3.78/1.33 % SZS status Unsatisfiable for theBenchmark
% 3.78/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.33 % (4062249)------------------------------
% 3.78/1.33 % (4062249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.33 % (4062249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.33 % (4062249)CaDiCaL version: 2.1.3
% 3.78/1.33 % (4062249)Termination reason: Refutation
% 3.78/1.33 % (4062249)Time elapsed: 0.026 s
% 3.78/1.33 % (4062249)Peak memory usage: 90 MB
% 3.78/1.33 % (4062249)Instructions burned: 36 (million)
% 3.78/1.33 % (4062249)------------------------------
% 3.78/1.33 % (4062249)------------------------------
% 3.78/1.33 % (4062112)Success in time 0.451 s
% 3.78/1.33 % Vampire exiting
%------------------------------------------------------------------------------