%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN113-1 : 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 : n009.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 01:49:41 PM UTC 2026
% Result : Unsatisfiable 3.72s 1.26s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 12 unt; 2 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 28 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f43,axiom,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_005) ).
fof(f135,axiom,
! [X0] :
( q1(X0,X0,X0)
| ~ s0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_097) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ m1(X2,X1,X0)
| k2(X0,X1)
| ~ k1(X3)
| ~ k2(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_129) ).
fof(f369,negated_conjecture,
~ k2(e,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f896,plain,
k1(d),
inference(resolution,[],[f39,f34]) ).
fof(f975,plain,
! [X0] :
( k2(X0,X0)
| ~ s0(X0) ),
inference(resolution,[],[f167,f135]) ).
fof(f1018,plain,
! [X0] : m1(X0,d,X0),
inference(resolution,[],[f43,f19]) ).
fof(f1827,plain,
! [X0,X1] :
( k2(X0,d)
| ~ k1(X1)
| ~ k2(X1,d) ),
inference(resolution,[],[f165,f1018]) ).
fof(f1853,definition,
( spl0_150
<=> ! [X1] :
( ~ k1(X1)
| ~ k2(X1,d) ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f1854,plain,
( ! [X1] :
( ~ k2(X1,d)
| ~ k1(X1) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f1853]) ).
fof(f1856,definition,
( spl0_151
<=> ! [X0] : k2(X0,d) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f1857,plain,
( ! [X0] : k2(X0,d)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1856]) ).
fof(f1858,plain,
( spl0_150
| spl0_151 ),
inference(avatar_split_clause,[],[f1827,f1856,f1853]) ).
fof(f2264,plain,
( ~ k1(d)
| ~ s0(d)
| ~ spl0_150 ),
inference(resolution,[],[f1854,f975]) ).
fof(f2274,plain,
( ~ s0(d)
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f2264,f896]) ).
fof(f2275,plain,
( $false
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f2274,f1]) ).
fof(f2276,plain,
~ spl0_150,
inference(avatar_contradiction_clause,[],[f2275]) ).
fof(f2278,plain,
( $false
| ~ spl0_151 ),
inference(resolution,[],[f1857,f369]) ).
fof(f2279,plain,
~ spl0_151,
inference(avatar_contradiction_clause,[],[f2278]) ).
cnf(s150,plain,
( spl0_150
| spl0_151 ),
inference(sat_conversion,[],[f1858]) ).
cnf(s174,plain,
~ spl0_150,
inference(sat_conversion,[],[f2276]) ).
cnf(s175,plain,
~ spl0_151,
inference(sat_conversion,[],[f2279]) ).
cnf(s176,plain,
$false,
inference(rat,[],[s150,s175,s174]) ).
fof(f2280,plain,
$false,
inference(avatar_sat_refutation,[],[s176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN113-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n009.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 15:34:30 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running first-order theorem proving
% 0.11/0.23 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
% 3.72/1.26 % (3154596)Input is clausal, will run a generic CNF schedule.
% 3.72/1.26 % (3154712)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3345449678:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.72/1.26 % (3154713)lrs+10_1_sil=8000:sp=occurrence:random_seed=719747605:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.72/1.26 % (3154710)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=4067033412:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.72/1.26 % (3154714)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2993800079:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.72/1.26 % (3154711)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=128902473:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.72/1.26 % (3154716)dis-21_1_sil=8000:lcm=predicate:random_seed=392970337: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)
% 3.72/1.26 % (3154713)First to succeed.
% 3.72/1.26 % (3154713)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3154596"
% 3.72/1.26 % (3154715)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1414698838:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.72/1.26 % (3154714)Also succeeded, but the first one will report.
% 3.72/1.26 % (3154716)Instruction limit reached!
% 3.72/1.26 % (3154716)------------------------------
% 3.72/1.26 % (3154716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.26 % (3154716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.26 % (3154716)CaDiCaL version: 2.1.3
% 3.72/1.26 % (3154716)Termination reason: Instruction limit
% 3.72/1.26 % (3154716)Termination phase: Saturation
% 3.72/1.26 % (3154716)Time elapsed: 0.056 s
% 3.72/1.26 % (3154716)Peak memory usage: 89 MB
% 3.72/1.26 % (3154716)Instructions burned: 120 (million)
% 3.72/1.26 % (3154715)Also succeeded, but the first one will report.
% 3.72/1.26 % (3154724)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=1369926123:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.72/1.26 % (3154724)Refutation not found, incomplete strategy
% 3.72/1.26 % (3154724)------------------------------
% 3.72/1.26 % (3154724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.26 % (3154724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.26 % (3154724)CaDiCaL version: 2.1.3
% 3.72/1.26 % (3154724)Termination reason: Refutation not found, incomplete strategy
% 3.72/1.26 % (3154724)Time elapsed: 0.003 s
% 3.72/1.26 % (3154724)Peak memory usage: 87 MB
% 3.72/1.26 % (3154724)Instructions burned: 3 (million)
% 3.72/1.26 % (3154713)Refutation found. Thanks to Tanya!
% 3.72/1.26 % SZS status Unsatisfiable for theBenchmark
% 3.72/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.72/1.26 % (3154713)------------------------------
% 3.72/1.26 % (3154713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.26 % (3154713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.26 % (3154713)CaDiCaL version: 2.1.3
% 3.72/1.26 % (3154713)Termination reason: Refutation
% 3.72/1.26 % (3154713)Time elapsed: 0.023 s
% 3.72/1.26 % (3154713)Peak memory usage: 89 MB
% 3.72/1.26 % (3154713)Instructions burned: 32 (million)
% 3.72/1.26 % (3154713)------------------------------
% 3.72/1.26 % (3154713)------------------------------
% 3.72/1.26 % (3154596)Success in time 0.459 s
% 3.72/1.26 % Vampire exiting
%------------------------------------------------------------------------------