%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN072+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 01:49:14 PM UTC 2026
% Result : Theorem 3.41s 1.15s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 18 unt; 3 def)
% Number of atoms : 78 ( 25 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 56 ( 23 ~; 30 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 11 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0,X1] :
! [X2] :
( X2 = X0
| X2 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49_1) ).
fof(f2,axiom,
big_p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49_2) ).
fof(f3,axiom,
big_p(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49_3) ).
fof(f4,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49_4) ).
fof(f5,conjecture,
! [X0] : big_p(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel49) ).
fof(f6,negated_conjecture,
~ ! [X0] : big_p(X0),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
? [X0] : ~ big_p(X0),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
! [X2] :
( sK0 = X2
| sK1 = X2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f1]) ).
fof(f9,plain,
~ big_p(sK2),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f7]) ).
fof(f10,plain,
! [X2] :
( sK1 = X2
| sK0 = X2 ),
inference(cnf_transformation,[],[f8]) ).
fof(f11,plain,
big_p(a),
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
big_p(b),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
a != b,
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
~ big_p(sK2),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
! [X0,X1] :
( sK0 = X1
| X0 = X1
| sK0 = X0 ),
inference(superposition,[],[f10,f10]) ).
fof(f16,plain,
( ~ big_p(sK1)
| sK0 = sK2 ),
inference(superposition,[],[f14,f10]) ).
fof(f27,definition,
( spl3_3
<=> sK0 = sK2 ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f29,plain,
( sK0 = sK2
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f31,definition,
( spl3_4
<=> big_p(sK1) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f33,plain,
( ~ big_p(sK1)
| spl3_4 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f34,plain,
( spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f16,f31,f27]) ).
fof(f35,plain,
( ! [X0] :
( ~ big_p(X0)
| sK0 = X0 )
| spl3_4 ),
inference(superposition,[],[f33,f10]) ).
fof(f36,plain,
( a = sK0
| spl3_4 ),
inference(resolution,[],[f35,f11]) ).
fof(f37,plain,
( b = sK0
| spl3_4 ),
inference(resolution,[],[f35,f12]) ).
fof(f41,plain,
( a = b
| spl3_4 ),
inference(forward_demodulation,[],[f37,f36]) ).
fof(f42,plain,
( $false
| spl3_4 ),
inference(forward_subsumption_resolution,[],[f41,f13]) ).
fof(f43,plain,
spl3_4,
inference(avatar_contradiction_clause,[],[f42]) ).
fof(f46,plain,
( ~ big_p(sK0)
| ~ spl3_3 ),
inference(superposition,[],[f14,f29]) ).
fof(f61,definition,
( spl3_5
<=> big_p(sK0) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f63,plain,
( ~ big_p(sK0)
| spl3_5 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f65,plain,
( ~ spl3_5
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f46,f27,f61]) ).
fof(f66,plain,
( ! [X0,X1] :
( ~ big_p(X0)
| X0 = X1
| sK0 = X1 )
| spl3_5 ),
inference(superposition,[],[f63,f15]) ).
fof(f107,plain,
( ! [X0] :
( a = X0
| sK0 = X0 )
| spl3_5 ),
inference(resolution,[],[f66,f11]) ).
fof(f116,plain,
( a != a
| b = sK0
| spl3_5 ),
inference(superposition,[],[f13,f107]) ).
fof(f124,plain,
( b = sK0
| spl3_5 ),
inference(trivial_inequality_removal,[],[f116]) ).
fof(f139,plain,
( ~ big_p(b)
| spl3_5 ),
inference(superposition,[],[f63,f124]) ).
fof(f141,plain,
( $false
| spl3_5 ),
inference(forward_subsumption_resolution,[],[f139,f12]) ).
fof(f142,plain,
spl3_5,
inference(avatar_contradiction_clause,[],[f141]) ).
cnf(s2,plain,
( spl3_3
| ~ spl3_4 ),
inference(sat_conversion,[],[f34]) ).
cnf(s3,plain,
spl3_4,
inference(sat_conversion,[],[f43]) ).
cnf(s5,plain,
( ~ spl3_3
| ~ spl3_5 ),
inference(sat_conversion,[],[f65]) ).
cnf(s12,plain,
spl3_5,
inference(sat_conversion,[],[f142]) ).
cnf(s13,plain,
~ spl3_3,
inference(rat,[],[s5,s12]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s2,s3,s13]) ).
fof(f144,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN072+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:28:47 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 3.41/1.15 % (867508)Detected formulas, will run a generic FOF schedule.
% 3.41/1.15 % (867513)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=1795839135:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.41/1.15 % (867518)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2635852881:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.41/1.15 % (867518)First to succeed.
% 3.41/1.15 % (867517)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=511067564:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.41/1.15 % (867514)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1726913570:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.41/1.15 % (867516)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3676940706:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.41/1.15 % (867515)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=708707593:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.41/1.15 % (867518)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-867508"
% 3.41/1.15 % (867517)Refutation not found, incomplete strategy
% 3.41/1.15 % (867517)------------------------------
% 3.41/1.15 % (867517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.15 % (867517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.15 % (867517)CaDiCaL version: 2.1.3
% 3.41/1.15 % (867517)Termination reason: Refutation not found, incomplete strategy
% 3.41/1.15 % (867517)Time elapsed: 0.0000 s
% 3.41/1.15 % (867517)Peak memory usage: 86 MB
% 3.41/1.15 % (867516)Refutation not found, incomplete strategy
% 3.41/1.15 % (867516)------------------------------
% 3.41/1.15 % (867516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.15 % (867516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.15 % (867516)CaDiCaL version: 2.1.3
% 3.41/1.15 % (867516)Termination reason: Refutation not found, incomplete strategy
% 3.41/1.15 % (867516)Time elapsed: 0.0000 s
% 3.41/1.15 % (867516)Peak memory usage: 87 MB
% 3.41/1.15 % (867519)dis-21_1_sil=8000:lcm=predicate:random_seed=2867661288:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.41/1.15 % (867519)Refutation not found, incomplete strategy
% 3.41/1.15 % (867519)------------------------------
% 3.41/1.15 % (867519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.15 % (867519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.15 % (867519)CaDiCaL version: 2.1.3
% 3.41/1.15 % (867519)Termination reason: Refutation not found, incomplete strategy
% 3.41/1.15 % (867519)Time elapsed: 0.001 s
% 3.41/1.15 % (867519)Peak memory usage: 88 MB
% 3.41/1.15 % (867519)------------------------------
% 3.41/1.15 % (867519)------------------------------
% 3.41/1.15 % (867516)------------------------------
% 3.41/1.15 % (867516)------------------------------
% 3.41/1.15 % (867517)------------------------------
% 3.41/1.15 % (867517)------------------------------
% 3.41/1.15 % (867518)Refutation found. Thanks to Tanya!
% 3.41/1.15 % SZS status Theorem for theBenchmark
% 3.41/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.41/1.15 % (867518)------------------------------
% 3.41/1.15 % (867518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.15 % (867518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.15 % (867518)CaDiCaL version: 2.1.3
% 3.41/1.15 % (867518)Termination reason: Refutation
% 3.41/1.15 % (867518)Time elapsed: 0.005 s
% 3.41/1.15 % (867518)Peak memory usage: 89 MB
% 3.41/1.15 % (867518)Instructions burned: 5 (million)
% 3.41/1.15 % (867518)------------------------------
% 3.41/1.15 % (867518)------------------------------
% 3.41/1.15 % (867508)Success in time 0.406 s
% 3.41/1.15 % Vampire exiting
%------------------------------------------------------------------------------