%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN116-1 : 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 : n019.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 01:49:42 PM UTC 2026
% Result : Unsatisfiable 0.18s 1.31s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 57 ( 18 unt; 6 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 132 ( 68 ~; 58 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 7 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',rule_003) ).
fof(f44,axiom,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_006) ).
fof(f188,axiom,
! [X0,X1] :
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_150) ).
fof(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
fof(f286,axiom,
! [X0,X1] :
( p3(X0,X0,X0)
| ~ p2(X1,X0,X0)
| ~ n3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_248) ).
fof(f305,axiom,
! [X2,X0,X1] :
( ~ p2(X0,X2,X1)
| r3(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_267) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( ~ p3(X1,X2,X3)
| s4(X0)
| ~ l1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_299) ).
fof(f338,axiom,
! [X2,X0,X1] :
( k5(X0)
| ~ s4(X1)
| ~ r3(X2,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_300) ).
fof(f369,negated_conjecture,
~ k5(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f371,definition,
( spl0_1
<=> ! [X3] : ~ r0(X3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f372,plain,
( ! [X3] : ~ r0(X3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f374,definition,
( spl0_2
<=> ! [X2,X0,X1] :
( l1(X0,X1)
| ~ m0(X1,X0,X2)
| ~ p0(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f375,plain,
( ! [X2,X0,X1] :
( ~ m0(X1,X0,X2)
| l1(X0,X1)
| ~ p0(X2,X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f376,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f41,f374,f371]) ).
fof(f397,plain,
! [X0,X1] :
( ~ p2(X1,X0,X0)
| p3(X0,X0,X0) ),
inference(forward_subsumption_resolution,[],[f286,f278]) ).
fof(f462,definition,
( spl0_23
<=> ! [X0] : p2(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f463,plain,
( ! [X0] : p2(X0,X0,X0)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f565,definition,
( spl0_47
<=> ! [X1] : ~ s4(X1) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f566,plain,
( ! [X1] : ~ s4(X1)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f568,definition,
( spl0_48
<=> ! [X2,X0] :
( k5(X0)
| ~ r3(X2,X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f569,plain,
( ! [X2,X0] :
( ~ r3(X2,X0,X0)
| k5(X0) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f570,plain,
( spl0_47
| spl0_48 ),
inference(avatar_split_clause,[],[f338,f568,f565]) ).
fof(f580,definition,
( spl0_51
<=> k5(b) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f581,plain,
( ~ k5(b)
| spl0_51 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f600,plain,
~ spl0_51,
inference(avatar_split_clause,[],[f369,f580]) ).
fof(f665,plain,
! [X0] : m1(X0,X0,X0),
inference(resolution,[],[f44,f19]) ).
fof(f701,plain,
! [X0] : p2(X0,X0,X0),
inference(resolution,[],[f188,f665]) ).
fof(f704,plain,
spl0_23,
inference(avatar_split_clause,[],[f701,f462]) ).
fof(f738,plain,
( ! [X0] : r3(X0,X0,X0)
| ~ spl0_23 ),
inference(resolution,[],[f305,f463]) ).
fof(f752,plain,
( ! [X0] : p3(X0,X0,X0)
| ~ spl0_23 ),
inference(resolution,[],[f397,f463]) ).
fof(f816,plain,
( ! [X0,X1] :
( s4(X0)
| ~ l1(X0,X1) )
| ~ spl0_23 ),
inference(resolution,[],[f337,f752]) ).
fof(f821,plain,
( ! [X0,X1] : ~ l1(X0,X1)
| ~ spl0_23
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f816,f566]) ).
fof(f924,plain,
( l1(b,e)
| ~ p0(c,b)
| ~ spl0_2 ),
inference(resolution,[],[f375,f27]) ).
fof(f934,plain,
( ~ p0(c,b)
| ~ spl0_2
| ~ spl0_23
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f924,f821]) ).
fof(f938,plain,
( $false
| ~ spl0_2
| ~ spl0_23
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f934,f18]) ).
fof(f939,plain,
( ~ spl0_2
| ~ spl0_23
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f938]) ).
fof(f993,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f372,f9]) ).
fof(f996,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f993]) ).
fof(f1003,plain,
( ! [X0] : k5(X0)
| ~ spl0_23
| ~ spl0_48 ),
inference(resolution,[],[f569,f738]) ).
fof(f1005,plain,
( $false
| ~ spl0_23
| ~ spl0_48
| spl0_51 ),
inference(resolution,[],[f1003,f581]) ).
fof(f1008,plain,
( ~ spl0_23
| ~ spl0_48
| spl0_51 ),
inference(avatar_contradiction_clause,[],[f1005]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f376]) ).
cnf(s23,plain,
( spl0_47
| spl0_48 ),
inference(sat_conversion,[],[f570]) ).
cnf(s27,plain,
~ spl0_51,
inference(sat_conversion,[],[f600]) ).
cnf(s40,plain,
spl0_23,
inference(sat_conversion,[],[f704]) ).
cnf(s60,plain,
( ~ spl0_2
| ~ spl0_23
| ~ spl0_47 ),
inference(sat_conversion,[],[f939]) ).
cnf(s68,plain,
~ spl0_1,
inference(sat_conversion,[],[f996]) ).
cnf(s76,plain,
( ~ spl0_23
| ~ spl0_48
| spl0_51 ),
inference(sat_conversion,[],[f1008]) ).
cnf(s83,plain,
~ spl0_48,
inference(rat,[],[s76,s40,s27]) ).
cnf(s85,plain,
spl0_47,
inference(rat,[],[s23,s83]) ).
cnf(s86,plain,
~ spl0_2,
inference(rat,[],[s60,s40,s85]) ).
cnf(s99,plain,
$false,
inference(rat,[],[s1,s86,s68]) ).
fof(f1009,plain,
$false,
inference(avatar_sat_refutation,[],[s99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN116-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:34:48 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 0.18/1.31 % (4095037)Input is clausal, will run a generic CNF schedule.
% 0.18/1.31 % (4095042)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=1043182444:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/1.31 % (4095048)dis-21_1_sil=8000:lcm=predicate:random_seed=2298841994: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)
% 0.18/1.31 % (4095044)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2841593931:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.31 % (4095046)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3537637505:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.31 % (4095047)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2957282815:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/1.31 % (4095043)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2512452061:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/1.31 % (4095045)lrs+10_1_sil=8000:sp=occurrence:random_seed=1238636942:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/1.31 % (4095045)First to succeed.
% 0.18/1.31 % (4095045)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4095037"
% 0.18/1.31 % (4095047)Also succeeded, but the first one will report.
% 0.18/1.31 % (4095046)Also succeeded, but the first one will report.
% 0.18/1.31 % (4095048)Instruction limit reached!
% 0.18/1.31 % (4095048)------------------------------
% 0.18/1.31 % (4095048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (4095048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (4095048)CaDiCaL version: 2.1.3
% 0.18/1.31 % (4095048)Termination reason: Instruction limit
% 0.18/1.31 % (4095048)Termination phase: Saturation
% 0.18/1.31 % (4095048)Time elapsed: 0.055 s
% 0.18/1.31 % (4095048)Peak memory usage: 89 MB
% 0.18/1.31 % (4095048)Instructions burned: 118 (million)
% 0.18/1.31 % (4095056)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=892274029:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.18/1.31 % (4095056)Refutation not found, incomplete strategy
% 0.18/1.31 % (4095056)------------------------------
% 0.18/1.31 % (4095056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (4095056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (4095056)CaDiCaL version: 2.1.3
% 0.18/1.31 % (4095056)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.31 % (4095056)Time elapsed: 0.002 s
% 0.18/1.31 % (4095056)Peak memory usage: 87 MB
% 0.18/1.31 % (4095056)Instructions burned: 1 (million)
% 0.18/1.31 % (4095045)Refutation found. Thanks to Tanya!
% 0.18/1.31 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.31 % (4095045)------------------------------
% 0.18/1.31 % (4095045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (4095045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (4095045)CaDiCaL version: 2.1.3
% 0.18/1.31 % (4095045)Termination reason: Refutation
% 0.18/1.31 % (4095045)Time elapsed: 0.009 s
% 0.18/1.31 % (4095045)Peak memory usage: 89 MB
% 0.18/1.31 % (4095045)Instructions burned: 11 (million)
% 0.18/1.31 % (4095045)------------------------------
% 0.18/1.31 % (4095045)------------------------------
% 0.18/1.31 % (4095037)Success in time 0.447 s
% 0.18/1.31 % Vampire exiting
%------------------------------------------------------------------------------