%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYP116_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 02:33:19 PM UTC 2026
% Result : Unsatisfiable 3.59s 1.34s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 73 ( 11 unt; 0 typ; 8 def)
% Number of atoms : 155 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 150 ( 68 ~; 59 |; 7 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 53 ( 22 atm; 0 fun; 22 num; 9 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 3 ( 2 usr; 3 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
npa: $int ).
tff(func_def_1,type,
npb: $int ).
tff(pred_def_1,type,
p: $int > $o ).
tff(pred_def_2,type,
q: $int > $o ).
tff(pred_def_3,type,
r: $int > $o ).
tff(f1,axiom,
( ( p(npa)
& $greatereq(npa,0) )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f2,axiom,
( $greatereq(npb,0)
=> p(npb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f3,axiom,
( ( $less(npa,0)
& q(npa) )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f4,axiom,
( $less(npb,0)
=> q(npb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f5,axiom,
! [X0: $int] :
( ( ( npa != npb )
& r(X0) )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(f6,axiom,
! [X0: $int] :
( $true
=> r(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
tff(f7,plain,
( ~ $less(npb,0)
=> p(npb) ),
inference(theory_normalization,[],[f2]) ).
tff(f8,plain,
( ( p(npa)
& ~ $less(npa,0) )
=> $false ),
inference(theory_normalization,[],[f1]) ).
tff(f21,plain,
~ ( p(npa)
& ~ $less(npa,0) ),
inference(true_and_false_elimination,[],[f8]) ).
tff(f22,plain,
! [X0: $int] :
~ ( ( npa != npb )
& r(X0) ),
inference(true_and_false_elimination,[],[f5]) ).
tff(f23,plain,
! [X0: $int] : r(X0),
inference(true_and_false_elimination,[],[f6]) ).
tff(f24,plain,
~ ( $less(npa,0)
& q(npa) ),
inference(true_and_false_elimination,[],[f3]) ).
tff(f25,plain,
( p(npb)
| $less(npb,0) ),
inference(ennf_transformation,[],[f7]) ).
tff(f26,plain,
( ~ $less(npa,0)
| ~ q(npa) ),
inference(ennf_transformation,[],[f24]) ).
tff(f27,plain,
( ~ $less(npb,0)
| q(npb) ),
inference(ennf_transformation,[],[f4]) ).
tff(f28,plain,
! [X0: $int] :
( ~ r(X0)
| ( npa = npb ) ),
inference(ennf_transformation,[],[f22]) ).
tff(f29,plain,
( ~ p(npa)
| $less(npa,0) ),
inference(ennf_transformation,[],[f21]) ).
tff(f30,plain,
! [X0: $int] : r(X0),
inference(cnf_transformation,[],[f23]) ).
tff(f31,plain,
! [X0: $int] :
( ( npa = npb )
| ~ r(X0) ),
inference(cnf_transformation,[],[f28]) ).
tff(f32,plain,
( $less(npb,0)
| p(npb) ),
inference(cnf_transformation,[],[f25]) ).
tff(f33,plain,
( q(npb)
| ~ $less(npb,0) ),
inference(cnf_transformation,[],[f27]) ).
tff(f34,plain,
( ~ p(npa)
| $less(npa,0) ),
inference(cnf_transformation,[],[f29]) ).
tff(f35,plain,
( ~ q(npa)
| ~ $less(npa,0) ),
inference(cnf_transformation,[],[f26]) ).
tff(f37,definition,
( spl0_1
<=> q(npa) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f39,plain,
( ~ q(npa)
| spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f41,definition,
( spl0_2
<=> $less(npa,0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f44,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f35,f41,f37]) ).
tff(f46,definition,
( spl0_3
<=> p(npb) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f48,plain,
( p(npb)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f46]) ).
tff(f50,definition,
( spl0_4
<=> $less(npb,0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f51,plain,
( ~ $less(npb,0)
| spl0_4 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f52,plain,
( $less(npb,0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f53,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f32,f50,f46]) ).
tff(f55,definition,
( spl0_5
<=> p(npa) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
tff(f57,plain,
( ~ p(npa)
| spl0_5 ),
inference(avatar_component_clause,[],[f55]) ).
tff(f58,plain,
( spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f34,f55,f41]) ).
tff(f60,definition,
( spl0_6
<=> ( npa = npb ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
tff(f62,plain,
( ( npa = npb )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f60]) ).
tff(f64,definition,
( spl0_7
<=> ! [X0: $int] : ~ r(X0) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
tff(f65,plain,
( ! [X0: $int] : ~ r(X0)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f64]) ).
tff(f66,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f31,f64,f60]) ).
tff(f68,definition,
( spl0_8
<=> q(npb) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
tff(f70,plain,
( q(npb)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f68]) ).
tff(f71,plain,
( spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f33,f50,f68]) ).
tff(f72,plain,
( ~ $less(npa,0)
| spl0_4
| ~ spl0_6 ),
inference(constrained_superposition,[],[f51,f62]) ).
tff(f73,plain,
( p(npa)
| ~ spl0_3
| ~ spl0_6 ),
inference(constrained_superposition,[],[f48,f62]) ).
tff(f74,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f73,f57]) ).
tff(f75,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f74]) ).
tff(f76,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f72,f60,f50,f41]) ).
tff(f77,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f65,f30]) ).
tff(f78,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f77]) ).
tff(f79,plain,
( $less(npa,0)
| ~ spl0_4
| ~ spl0_6 ),
inference(constrained_superposition,[],[f52,f62]) ).
tff(f80,plain,
( q(npa)
| ~ spl0_6
| ~ spl0_8 ),
inference(constrained_superposition,[],[f70,f62]) ).
tff(f82,plain,
( $false
| spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f80,f39]) ).
tff(f83,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f82]) ).
tff(f84,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f79,f60,f50,f41]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f44]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f53]) ).
cnf(s3,plain,
( spl0_2
| ~ spl0_5 ),
inference(sat_conversion,[],[f58]) ).
cnf(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f66]) ).
cnf(s5,plain,
( ~ spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f71]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f75]) ).
cnf(s7,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f76]) ).
cnf(s8,plain,
~ spl0_7,
inference(sat_conversion,[],[f78]) ).
cnf(s9,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f83]) ).
cnf(s10,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f84]) ).
cnf(s11,plain,
spl0_6,
inference(rat,[],[s4,s8]) ).
cnf(s12,plain,
spl0_4,
inference(rat,[],[s6,s3,s2,s7,s11]) ).
cnf(s13,plain,
spl0_2,
inference(rat,[],[s10,s11,s12]) ).
cnf(s14,plain,
spl0_8,
inference(rat,[],[s5,s12]) ).
cnf(s15,plain,
~ spl0_1,
inference(rat,[],[s1,s13]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s9,s11,s14,s15]) ).
tff(f85,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYP116_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 % Computer : n006.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Mon Sep 28 18:46:55 UTC 2026
% 0.07/0.22 % CPUTime :
% 0.07/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.27 Running first-order theorem proving
% 0.07/0.27 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
% 3.59/1.34 % (47856)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.59/1.34 % (47900)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=33975868:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.59/1.34 % (47900)First to succeed.
% 3.59/1.34 % (47900)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-47856"
% 3.59/1.34 % (47897)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=363233084:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.59/1.34 % (47897)Also succeeded, but the first one will report.
% 3.59/1.34 % (47898)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4200053658:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.59/1.34 % (47896)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2178181451:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.59/1.34 % (47899)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2730336663:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.59/1.34 % (47902)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2862123903:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.59/1.34 % (47903)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=562502044:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.59/1.34 % (47899)Also succeeded, but the first one will report.
% 3.59/1.34 % (47898)Refutation not found, incomplete strategy
% 3.59/1.34 % (47898)------------------------------
% 3.59/1.34 % (47898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.34 % (47898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.34 % (47898)CaDiCaL version: 2.1.3
% 3.59/1.34 % (47898)Termination reason: Refutation not found, incomplete strategy
% 3.59/1.34 % (47898)Time elapsed: 0.035 s
% 3.59/1.34 % (47898)Peak memory usage: 111 MB
% 3.59/1.34 % (47898)Instructions burned: 5 (million)
% 3.59/1.34 % (47896)Refutation not found, incomplete strategy
% 3.59/1.34 % (47896)------------------------------
% 3.59/1.34 % (47896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.34 % (47896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.34 % (47896)CaDiCaL version: 2.1.3
% 3.59/1.34 % (47896)Termination reason: Refutation not found, incomplete strategy
% 3.59/1.34 % (47896)Time elapsed: 0.034 s
% 3.59/1.34 % (47896)Peak memory usage: 111 MB
% 3.59/1.34 % (47896)Instructions burned: 5 (million)
% 3.59/1.34 % (47902)Also succeeded, but the first one will report.
% 3.59/1.34 % (47903)Also succeeded, but the first one will report.
% 3.59/1.34 % (47900)Refutation found. Thanks to Tanya!
% 3.59/1.34 % SZS status Unsatisfiable for theBenchmark
% 3.59/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.34 % (47900)------------------------------
% 3.59/1.34 % (47900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.34 % (47900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.34 % (47900)CaDiCaL version: 2.1.3
% 3.59/1.34 % (47900)Termination reason: Refutation
% 3.59/1.34 % (47900)Time elapsed: 0.003 s
% 3.59/1.34 % (47900)Peak memory usage: 90 MB
% 3.59/1.34 % (47900)Instructions burned: 2 (million)
% 3.59/1.34 % (47900)------------------------------
% 3.59/1.34 % (47900)------------------------------
% 3.59/1.34 % (47856)Success in time 0.401 s
% 3.59/1.34 % Vampire exiting
%------------------------------------------------------------------------------