%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV416+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 01:21:12 PM UTC 2026
% Result : Theorem 0.08s 0.24s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 12 unt; 2 def)
% Number of atoms : 76 ( 15 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 24 ~; 19 |; 9 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 64 ( 0 sgn 56 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,axiom,
! [X0,X1] :
( pi_sharp_remove(X0,X1)
<=> contains_pq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax',ax56) ).
fof(f57,axiom,
! [X0,X1] :
( pi_remove(X0,X1)
<=> pi_sharp_remove(i(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax',ax57) ).
fof(f63,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main3_li12) ).
fof(f64,axiom,
! [X0,X1,X2,X3] :
( contains_pq(i(triple(X0,X1,X2)),X3)
=> i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main3_li34) ).
fof(f65,conjecture,
! [X0,X1,X2,X3] :
( pi_remove(triple(X0,X1,X2),X3)
=> ( phi(remove_cpq(triple(X0,X1,X2),X3))
=> ( pi_sharp_remove(i(triple(X0,X1,X2)),X3)
& i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co3) ).
fof(f66,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( pi_remove(triple(X0,X1,X2),X3)
=> ( phi(remove_cpq(triple(X0,X1,X2),X3))
=> ( pi_sharp_remove(i(triple(X0,X1,X2)),X3)
& i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) ) ) ),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f77,plain,
! [X0,X1] :
( pi_remove(X0,X1)
=> pi_sharp_remove(i(X0),X1) ),
inference(unused_predicate_definition_removal,[],[f57]) ).
fof(f119,plain,
! [X0,X1] :
( pi_sharp_remove(i(X0),X1)
| ~ pi_remove(X0,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f122,plain,
? [X0,X1,X2,X3] :
( ( ~ pi_sharp_remove(i(triple(X0,X1,X2)),X3)
| i(remove_cpq(triple(X0,X1,X2),X3)) != remove_pq(i(triple(X0,X1,X2)),X3) )
& phi(remove_cpq(triple(X0,X1,X2),X3))
& pi_remove(triple(X0,X1,X2),X3) ),
inference(ennf_transformation,[],[f66]) ).
fof(f123,plain,
? [X0,X1,X2,X3] :
( ( ~ pi_sharp_remove(i(triple(X0,X1,X2)),X3)
| i(remove_cpq(triple(X0,X1,X2),X3)) != remove_pq(i(triple(X0,X1,X2)),X3) )
& phi(remove_cpq(triple(X0,X1,X2),X3))
& pi_remove(triple(X0,X1,X2),X3) ),
inference(flattening,[],[f122]) ).
fof(f133,plain,
! [X0,X1] :
( ( pi_sharp_remove(X0,X1)
| ~ contains_pq(X0,X1) )
& ( contains_pq(X0,X1)
| ~ pi_sharp_remove(X0,X1) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f135,plain,
( ( ~ pi_sharp_remove(i(triple(sK2,sK3,sK4)),sK5)
| i(remove_cpq(triple(sK2,sK3,sK4),sK5)) != remove_pq(i(triple(sK2,sK3,sK4)),sK5) )
& phi(remove_cpq(triple(sK2,sK3,sK4),sK5))
& pi_remove(triple(sK2,sK3,sK4),sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f123]) ).
fof(f201,plain,
! [X0,X1] :
( ~ pi_sharp_remove(X0,X1)
| contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f203,plain,
! [X0,X1] :
( pi_sharp_remove(i(X0),X1)
| ~ pi_remove(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
inference(cnf_transformation,[],[f63]) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( ~ contains_pq(i(triple(X0,X1,X2)),X3)
| i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) ),
inference(cnf_transformation,[],[f121]) ).
fof(f209,plain,
pi_remove(triple(sK2,sK3,sK4),sK5),
inference(cnf_transformation,[],[f135]) ).
fof(f211,plain,
( ~ pi_sharp_remove(i(triple(sK2,sK3,sK4)),sK5)
| i(remove_cpq(triple(sK2,sK3,sK4),sK5)) != remove_pq(i(triple(sK2,sK3,sK4)),sK5) ),
inference(cnf_transformation,[],[f135]) ).
fof(f221,definition,
( spl6_1
<=> i(remove_cpq(triple(sK2,sK3,sK4),sK5)) = remove_pq(i(triple(sK2,sK3,sK4)),sK5) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f223,plain,
( i(remove_cpq(triple(sK2,sK3,sK4),sK5)) != remove_pq(i(triple(sK2,sK3,sK4)),sK5)
| spl6_1 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f225,definition,
( spl6_2
<=> pi_sharp_remove(i(triple(sK2,sK3,sK4)),sK5) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f227,plain,
( ~ pi_sharp_remove(i(triple(sK2,sK3,sK4)),sK5)
| spl6_2 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f228,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f211,f225,f221]) ).
fof(f328,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ pi_remove(triple(X3,X1,X4),X5)
| pi_sharp_remove(i(triple(X0,X1,X2)),X5) ),
inference(superposition,[],[f203,f207]) ).
fof(f339,plain,
! [X0,X1] : pi_sharp_remove(i(triple(X0,sK3,X1)),sK5),
inference(resolution,[],[f328,f209]) ).
fof(f342,plain,
! [X0,X1] : contains_pq(i(triple(X0,sK3,X1)),sK5),
inference(resolution,[],[f339,f201]) ).
fof(f347,plain,
! [X0,X1] : remove_pq(i(triple(X0,sK3,X1)),sK5) = i(remove_cpq(triple(X0,sK3,X1),sK5)),
inference(resolution,[],[f342,f208]) ).
fof(f353,plain,
( i(remove_cpq(triple(sK2,sK3,sK4),sK5)) != i(remove_cpq(triple(sK2,sK3,sK4),sK5))
| spl6_1 ),
inference(superposition,[],[f223,f347]) ).
fof(f355,plain,
( $false
| spl6_1 ),
inference(trivial_inequality_removal,[],[f353]) ).
fof(f356,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f357,plain,
( $false
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f227,f339]) ).
fof(f358,plain,
spl6_2,
inference(avatar_contradiction_clause,[],[f357]) ).
cnf(s77,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f228]) ).
cnf(s186,plain,
spl6_1,
inference(sat_conversion,[],[f356]) ).
cnf(s190,plain,
spl6_2,
inference(sat_conversion,[],[f358]) ).
cnf(s192,plain,
$false,
inference(rat,[],[s77,s190,s186]) ).
fof(f359,plain,
$false,
inference(avatar_sat_refutation,[],[s192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV416+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n002.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 10:54:22 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 Running first-order model finding
% 0.08/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.24 % (278660)Will run a generic schedule for satisfiability detection.
% 0.08/0.24 % (278667)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3254311636:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.24 % (278667) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-278660-278667"...
% 0.08/0.24 % (278666)% WARNING: option uhcvi not known.
% 0.08/0.24 % (278667)...printing done.
% 0.08/0.24 % (278667)Refutation found. Thanks to Tanya!
% 0.08/0.24 % SZS status Theorem for theBenchmark
% 0.08/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24 % (278667)------------------------------
% 0.08/0.24 % (278667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (278667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (278667)CaDiCaL version: 2.1.3
% 0.08/0.24 % (278667)Termination reason: Refutation
% 0.08/0.24 % (278667)Time elapsed: 0.004 s
% 0.08/0.24 % (278667)Peak memory usage: 12 MB
% 0.08/0.24 % (278667)Instructions burned: 9 (million)
% 0.08/0.24 % (278660)Success in time 0.034 s
% 0.08/0.24 % Vampire exiting
%------------------------------------------------------------------------------