%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN243-1 : 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 : n011.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 1.24s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f53,axiom,
! [X2,X0,X1] :
( m1(X0,X1,X1)
| ~ l0(X2)
| ~ m0(X1,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_015) ).
fof(f369,negated_conjecture,
~ m1(a,d,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f467,definition,
( spl0_28
<=> ! [X1] : ~ l0(X1) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f468,plain,
( ! [X1] : ~ l0(X1)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f1065,definition,
( spl0_197
<=> ! [X0,X1] :
( m1(X0,X1,X1)
| ~ m0(X1,X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
fof(f1066,plain,
( ! [X0,X1] :
( m1(X0,X1,X1)
| ~ m0(X1,X1,X0) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f1067,plain,
( spl0_28
| spl0_197 ),
inference(avatar_split_clause,[],[f53,f1065,f467]) ).
fof(f1421,plain,
( $false
| ~ spl0_28 ),
inference(resolution,[],[f20,f468]) ).
fof(f1422,plain,
~ spl0_28,
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1619,plain,
( ~ m0(d,d,a)
| ~ spl0_197 ),
inference(resolution,[],[f1066,f369]) ).
fof(f1666,plain,
( $false
| ~ spl0_197 ),
inference(resolution,[],[f19,f1619]) ).
fof(f1667,plain,
~ spl0_197,
inference(avatar_contradiction_clause,[],[f1666]) ).
cnf(s104,plain,
( spl0_28
| spl0_197 ),
inference(sat_conversion,[],[f1067]) ).
cnf(s161,plain,
~ spl0_28,
inference(sat_conversion,[],[f1422]) ).
cnf(s210,plain,
~ spl0_197,
inference(sat_conversion,[],[f1667]) ).
cnf(s243,plain,
$false,
inference(rat,[],[s104,s210,s161]) ).
fof(f1669,plain,
$false,
inference(avatar_sat_refutation,[],[s243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN243-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n011.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 15:39:17 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 3.61/1.24 % (3481840)Input is clausal, will run a generic CNF schedule.
% 3.61/1.24 % (3481864)lrs+10_1_sil=8000:sp=occurrence:random_seed=967229954:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.61/1.24 % (3481864)Refutation not found, incomplete strategy
% 3.61/1.24 % (3481864)------------------------------
% 3.61/1.24 % (3481864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.24 % (3481864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.24 % (3481864)CaDiCaL version: 2.1.3
% 3.61/1.24 % (3481864)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.24 % (3481864)Time elapsed: 0.002 s
% 3.61/1.24 % (3481864)Peak memory usage: 88 MB
% 3.61/1.24 % (3481864)Instructions burned: 2 (million)
% 3.61/1.24 % (3481867)dis-21_1_sil=8000:lcm=predicate:random_seed=3349334832: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)
% 3.61/1.24 % (3481867)First to succeed.
% 3.61/1.24 % (3481867)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3481840"
% 3.61/1.24 % (3481863)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=598648137:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.61/1.24 % (3481866)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=178200657:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.61/1.24 % (3481861)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=3373004063:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.61/1.24 % (3481865)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3590943410:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.61/1.24 % (3481862)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2679601717:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.61/1.24 % (3481866)Also succeeded, but the first one will report.
% 3.61/1.24 % (3481865)Also succeeded, but the first one will report.
% 3.61/1.24 % (3481864)------------------------------
% 3.61/1.24 % (3481864)------------------------------
% 3.61/1.24 % (3481876)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=3209084161:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 3.61/1.24 % (3481876)Refutation not found, incomplete strategy
% 3.61/1.24 % (3481876)------------------------------
% 3.61/1.24 % (3481876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.24 % (3481876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.24 % (3481876)CaDiCaL version: 2.1.3
% 3.61/1.24 % (3481876)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.24 % (3481876)Time elapsed: 0.001 s
% 3.61/1.24 % (3481876)Peak memory usage: 87 MB
% 3.61/1.24 % (3481876)Instructions burned: 1 (million)
% 3.61/1.24 % (3481867)Refutation found. Thanks to Tanya!
% 3.61/1.24 % SZS status Unsatisfiable for theBenchmark
% 3.61/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.24 % (3481867)------------------------------
% 3.61/1.24 % (3481867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.24 % (3481867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.24 % (3481867)CaDiCaL version: 2.1.3
% 3.61/1.24 % (3481867)Termination reason: Refutation
% 3.61/1.24 % (3481867)Time elapsed: 0.014 s
% 3.61/1.24 % (3481867)Peak memory usage: 90 MB
% 3.61/1.24 % (3481867)Instructions burned: 19 (million)
% 3.61/1.24 % (3481867)------------------------------
% 3.61/1.24 % (3481867)------------------------------
% 3.61/1.24 % (3481840)Success in time 0.437 s
% 3.61/1.24 % Vampire exiting
%------------------------------------------------------------------------------