%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN209-1 : 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 : n003.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 4.18s 1.67s
% Output : Refutation 4.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 39 ( 14 unt; 3 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 79 ( 41 ~; 35 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 4 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( l1(X0,X1)
| ~ p0(X2,X0)
| ~ r0(X3)
| ~ m0(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_003) ).
fof(f44,axiom,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_006) ).
fof(f188,axiom,
! [X0,X1] :
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_150) ).
fof(f276,axiom,
! [X0] :
( ~ p2(X0,X0,X0)
| m3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_238) ).
fof(f289,axiom,
! [X2,X3,X0,X1] :
( ~ m3(X1,X2,X3)
| p3(X0,X1,X1)
| ~ p2(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_251) ).
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(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f437,definition,
( spl0_15
<=> ! [X2] : ~ r0(X2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f438,plain,
( ! [X2] : ~ r0(X2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f496,definition,
( spl0_29
<=> ! [X0] : p2(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f497,plain,
( ! [X0] : p2(X0,X0,X0)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f550,definition,
( spl0_42
<=> ! [X2,X0,X1] :
( l1(X0,X1)
| ~ m0(X1,X0,X2)
| ~ p0(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f551,plain,
( ! [X2,X0,X1] :
( ~ m0(X1,X0,X2)
| l1(X0,X1)
| ~ p0(X2,X0) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f552,plain,
( spl0_15
| spl0_42 ),
inference(avatar_split_clause,[],[f41,f550,f437]) ).
fof(f610,plain,
( $false
| ~ spl0_15 ),
inference(resolution,[],[f438,f9]) ).
fof(f613,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f610]) ).
fof(f668,plain,
! [X0] : m1(X0,X0,X0),
inference(resolution,[],[f44,f19]) ).
fof(f706,plain,
! [X0] : p2(X0,X0,X0),
inference(resolution,[],[f188,f668]) ).
fof(f713,plain,
spl0_29,
inference(avatar_split_clause,[],[f706,f496]) ).
fof(f763,plain,
( ! [X0] : m3(X0,X0,X0)
| ~ spl0_29 ),
inference(resolution,[],[f276,f497]) ).
fof(f852,plain,
( l1(b,e)
| ~ p0(c,b)
| ~ spl0_42 ),
inference(resolution,[],[f551,f27]) ).
fof(f877,plain,
( l1(b,e)
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f852,f18]) ).
fof(f1052,plain,
( ! [X0,X1] :
( ~ p2(X0,X1,X1)
| p3(X0,X1,X1) )
| ~ spl0_29 ),
inference(resolution,[],[f289,f763]) ).
fof(f1476,plain,
( ! [X0] : p3(X0,X0,X0)
| ~ spl0_29 ),
inference(resolution,[],[f1052,f497]) ).
fof(f1520,plain,
( ! [X0,X1] :
( ~ l1(X0,X1)
| s4(X0) )
| ~ spl0_29 ),
inference(resolution,[],[f1476,f337]) ).
fof(f1597,plain,
( s4(b)
| ~ spl0_29
| ~ spl0_42 ),
inference(resolution,[],[f1520,f877]) ).
fof(f1599,plain,
( $false
| ~ spl0_29
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1597,f369]) ).
fof(f1600,plain,
( ~ spl0_29
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1599]) ).
cnf(s23,plain,
( spl0_15
| spl0_42 ),
inference(sat_conversion,[],[f552]) ).
cnf(s31,plain,
~ spl0_15,
inference(sat_conversion,[],[f613]) ).
cnf(s51,plain,
spl0_29,
inference(sat_conversion,[],[f713]) ).
cnf(s94,plain,
( ~ spl0_29
| ~ spl0_42 ),
inference(sat_conversion,[],[f1600]) ).
cnf(s98,plain,
~ spl0_42,
inference(rat,[],[s94,s51]) ).
cnf(s103,plain,
$false,
inference(rat,[],[s23,s98,s31]) ).
fof(f1601,plain,
$false,
inference(avatar_sat_refutation,[],[s103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN209-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n003.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:40:12 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 4.18/1.67 % (1708944)Input is clausal, will run a generic CNF schedule.
% 4.18/1.67 % (1708950)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3357929496:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.18/1.67 % (1708951)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3399886709:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.18/1.67 % (1708949)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=3797091922:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.18/1.67 % (1708953)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=133296534:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.18/1.67 % (1708952)lrs+10_1_sil=8000:sp=occurrence:random_seed=405479113:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.18/1.67 % (1708954)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3227881050:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.18/1.67 % (1708955)dis-21_1_sil=8000:lcm=predicate:random_seed=2951918929: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)
% 4.18/1.67 % (1708952)First to succeed.
% 4.18/1.67 % (1708952)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1708944"
% 4.18/1.67 % (1708953)Also succeeded, but the first one will report.
% 4.18/1.67 % (1708954)Also succeeded, but the first one will report.
% 4.18/1.67 % (1708955)Instruction limit reached!
% 4.18/1.67 % (1708955)------------------------------
% 4.18/1.67 % (1708955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.67 % (1708955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.67 % (1708955)CaDiCaL version: 2.1.3
% 4.18/1.67 % (1708955)Termination reason: Instruction limit
% 4.18/1.67 % (1708955)Termination phase: Saturation
% 4.18/1.67 % (1708955)Time elapsed: 0.055 s
% 4.18/1.67 % (1708955)Peak memory usage: 89 MB
% 4.18/1.67 % (1708955)Instructions burned: 117 (million)
% 4.18/1.67 % (1708999)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=2424278067:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.18/1.67 % (1708999)Refutation not found, incomplete strategy
% 4.18/1.67 % (1708999)------------------------------
% 4.18/1.67 % (1708999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.67 % (1708999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.67 % (1708999)CaDiCaL version: 2.1.3
% 4.18/1.67 % (1708999)Termination reason: Refutation not found, incomplete strategy
% 4.18/1.67 % (1708999)Time elapsed: 0.002 s
% 4.18/1.67 % (1708999)Peak memory usage: 87 MB
% 4.18/1.67 % (1708999)Instructions burned: 1 (million)
% 4.18/1.67 % (1708952)Refutation found. Thanks to Tanya!
% 4.18/1.67 % SZS status Unsatisfiable for theBenchmark
% 4.18/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 4.18/1.67 % (1708952)------------------------------
% 4.18/1.67 % (1708952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.67 % (1708952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.67 % (1708952)CaDiCaL version: 2.1.3
% 4.18/1.67 % (1708952)Termination reason: Refutation
% 4.18/1.67 % (1708952)Time elapsed: 0.016 s
% 4.18/1.67 % (1708952)Peak memory usage: 89 MB
% 4.18/1.67 % (1708952)Instructions burned: 21 (million)
% 4.18/1.67 % (1708952)------------------------------
% 4.18/1.67 % (1708952)------------------------------
% 4.18/1.67 % (1708944)Success in time 0.475 s
% 4.18/1.67 % Vampire exiting
%------------------------------------------------------------------------------