%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN212-1 : 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 : n026.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 01:49:55 PM UTC 2026
% Result : Unsatisfiable 3.61s 1.32s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 15 unt; 5 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 41 ~; 39 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 6 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f40,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
fof(f106,axiom,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_068) ).
fof(f175,axiom,
! [X2,X0,X1] :
( n2(X0)
| ~ p1(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f282,axiom,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_244) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( s4(X0)
| ~ p3(X1,X2,X3)
| ~ l1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_299) ).
fof(f369,negated_conjecture,
~ s4(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f448,definition,
( spl0_21
<=> s4(e) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f450,plain,
( ~ s4(e)
| spl0_21 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f662,definition,
( spl0_75
<=> n2(e) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f663,plain,
( n2(e)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f664,plain,
( ~ n2(e)
| spl0_75 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f1148,definition,
( spl0_196
<=> l1(e,e) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
fof(f1149,plain,
( l1(e,e)
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1150,plain,
( ~ l1(e,e)
| spl0_196 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1186,definition,
( spl0_205
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
fof(f1187,plain,
( k0(e)
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1340,definition,
( spl0_242
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ k0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).
fof(f1341,plain,
( ! [X0] :
( p1(X0,X0,X0)
| ~ k0(X0) )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1360,plain,
spl0_242,
inference(avatar_split_clause,[],[f106,f1340]) ).
fof(f1556,plain,
spl0_205,
inference(avatar_split_clause,[],[f28,f1186]) ).
fof(f1569,plain,
~ spl0_21,
inference(avatar_split_clause,[],[f369,f448]) ).
fof(f1777,plain,
( ! [X0] : ~ n0(X0,e)
| spl0_196 ),
inference(resolution,[],[f40,f1150]) ).
fof(f1780,plain,
( $false
| spl0_196 ),
inference(resolution,[],[f1777,f3]) ).
fof(f1783,plain,
spl0_196,
inference(avatar_contradiction_clause,[],[f1780]) ).
fof(f1815,plain,
( ! [X0,X1] : ~ p1(X0,X1,e)
| spl0_75 ),
inference(resolution,[],[f175,f664]) ).
fof(f1818,plain,
( ~ k0(e)
| spl0_75
| ~ spl0_242 ),
inference(resolution,[],[f1815,f1341]) ).
fof(f1821,plain,
( $false
| spl0_75
| ~ spl0_205
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f1818,f1187]) ).
fof(f1822,plain,
( spl0_75
| ~ spl0_205
| ~ spl0_242 ),
inference(avatar_contradiction_clause,[],[f1821]) ).
fof(f1838,plain,
( p3(e,e,e)
| ~ spl0_75 ),
inference(resolution,[],[f282,f663]) ).
fof(f1842,plain,
( ! [X2,X0,X1] :
( ~ p3(X0,X1,X2)
| ~ l1(e,X1) )
| spl0_21 ),
inference(resolution,[],[f337,f450]) ).
fof(f1962,plain,
( ~ l1(e,e)
| spl0_21
| ~ spl0_75 ),
inference(resolution,[],[f1842,f1838]) ).
fof(f1964,plain,
( $false
| spl0_21
| ~ spl0_75
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f1962,f1149]) ).
fof(f1965,plain,
( spl0_21
| ~ spl0_75
| ~ spl0_196 ),
inference(avatar_contradiction_clause,[],[f1964]) ).
cnf(s124,plain,
spl0_242,
inference(sat_conversion,[],[f1360]) ).
cnf(s156,plain,
spl0_205,
inference(sat_conversion,[],[f1556]) ).
cnf(s169,plain,
~ spl0_21,
inference(sat_conversion,[],[f1569]) ).
cnf(s235,plain,
spl0_196,
inference(sat_conversion,[],[f1783]) ).
cnf(s249,plain,
( spl0_75
| ~ spl0_205
| ~ spl0_242 ),
inference(sat_conversion,[],[f1822]) ).
cnf(s279,plain,
( spl0_21
| ~ spl0_75
| ~ spl0_196 ),
inference(sat_conversion,[],[f1965]) ).
cnf(s285,plain,
~ spl0_75,
inference(rat,[],[s279,s235,s169]) ).
cnf(s294,plain,
~ spl0_242,
inference(rat,[],[s249,s285,s156]) ).
cnf(s320,plain,
$false,
inference(rat,[],[s124,s294]) ).
fof(f1966,plain,
$false,
inference(avatar_sat_refutation,[],[s320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN212-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 % Computer : n026.cluster.edu
% 0.26/0.31 % Model : x86_64 x86_64
% 0.26/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.31 % Memory : 8046.5625MB
% 0.26/0.31 % OS : Linux 6.8.0-71-generic
% 0.26/0.31 % CPULimit : 300
% 0.26/0.31 % WCLimit : 300
% 0.26/0.31 % DateTime : Mon Sep 28 15:40:57 UTC 2026
% 0.26/0.31 % CPUTime :
% 0.26/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.37 Running first-order theorem proving
% 0.26/0.37 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
% 3.61/1.32 % (3954771)Input is clausal, will run a generic CNF schedule.
% 3.61/1.32 % (3954782)dis-21_1_sil=8000:lcm=predicate:random_seed=683805203: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)
% 3.61/1.32 % (3954782)Instruction limit reached!
% 3.61/1.32 % (3954782)------------------------------
% 3.61/1.32 % (3954782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.32 % (3954782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.32 % (3954782)CaDiCaL version: 2.1.3
% 3.61/1.32 % (3954782)Termination reason: Instruction limit
% 3.61/1.32 % (3954782)Termination phase: Saturation
% 3.61/1.32 % (3954782)Time elapsed: 0.030 s
% 3.61/1.32 % (3954782)Peak memory usage: 89 MB
% 3.61/1.32 % (3954782)Instructions burned: 119 (million)
% 3.61/1.32 % (3954781)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3229092558:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.61/1.32 % (3954779)lrs+10_1_sil=8000:sp=occurrence:random_seed=1088360296:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.61/1.32 % (3954780)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4112911176:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.61/1.32 % (3954777)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1381567801:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.61/1.32 % (3954776)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=1795753416:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.61/1.32 % (3954778)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2625437005:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.61/1.32 % (3954781)First to succeed.
% 3.61/1.32 % (3954781)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3954771"
% 3.61/1.32 % (3954780)Also succeeded, but the first one will report.
% 3.61/1.32 % (3954779)Refutation not found, incomplete strategy
% 3.61/1.32 % (3954779)------------------------------
% 3.61/1.32 % (3954779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.32 % (3954779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.32 % (3954779)CaDiCaL version: 2.1.3
% 3.61/1.32 % (3954779)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.32 % (3954779)Time elapsed: 0.021 s
% 3.61/1.32 % (3954779)Peak memory usage: 89 MB
% 3.61/1.32 % (3954779)Instructions burned: 29 (million)
% 3.61/1.32 % (3954789)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=1809742821:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.61/1.32 % (3954789)Refutation not found, incomplete strategy
% 3.61/1.32 % (3954789)------------------------------
% 3.61/1.32 % (3954789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.32 % (3954789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.32 % (3954789)CaDiCaL version: 2.1.3
% 3.61/1.32 % (3954789)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.32 % (3954789)Time elapsed: 0.001 s
% 3.61/1.32 % (3954789)Peak memory usage: 87 MB
% 3.61/1.32 % (3954789)Instructions burned: 1 (million)
% 3.61/1.32 % (3954789)------------------------------
% 3.61/1.32 % (3954789)------------------------------
% 3.61/1.32 % (3954779)------------------------------
% 3.61/1.32 % (3954779)------------------------------
% 3.61/1.32 % (3954781)Refutation found. Thanks to Tanya!
% 3.61/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.61/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.32 % (3954781)------------------------------
% 3.61/1.32 % (3954781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.32 % (3954781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.32 % (3954781)CaDiCaL version: 2.1.3
% 3.61/1.32 % (3954781)Termination reason: Refutation
% 3.61/1.32 % (3954781)Time elapsed: 0.019 s
% 3.61/1.32 % (3954781)Peak memory usage: 90 MB
% 3.61/1.32 % (3954781)Instructions burned: 29 (million)
% 3.61/1.32 % (3954781)------------------------------
% 3.61/1.32 % (3954781)------------------------------
% 3.61/1.32 % (3954771)Success in time 0.41 s
% 3.61/1.32 % Vampire exiting
%------------------------------------------------------------------------------