%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV864-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 01:26:33 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 10 unt; 1 def)
% Number of atoms : 49 ( 30 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 16 ~; 22 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1] : c_Com_Ocom_OSemi(X0,X1) != c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I13_J_0) ).
fof(f13,plain,
! [X0,X1] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X0,X1),
inference(reorient_equations,[],[f12]) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ c_Natural_Oevalc(X2,X3,X1)
| ~ c_Natural_Oevalc(X2,X3,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com__det_0) ).
fof(f29,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f30,negated_conjecture,
! [X0] :
( X0 = v_xa
| c_Natural_Oevalc(v_c,v_x,v_xb(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f31,plain,
! [X0] :
( c_Natural_Oevalc(v_c,v_x,v_xb(X0))
| v_xa = X0 ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
! [X0] :
( X0 != v_xb(X0)
| X0 = v_xa ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f33,plain,
! [X0] :
( v_xb(X0) != X0
| v_xa = X0 ),
inference(reorient_equations,[],[f32]) ).
fof(f42,definition,
( spl0_2
<=> ! [X0] : v_xa = X0 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f43,plain,
( ! [X0] : v_xa = X0
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f46,plain,
( c_Com_Ocom_OSKIP != v_xa
| ~ spl0_2 ),
inference(superposition,[],[f13,f43]) ).
fof(f61,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f46,f43]) ).
fof(f62,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f173,plain,
! [X0,X1] :
( ~ c_Natural_Oevalc(v_c,v_x,X0)
| v_xb(X1) = X0
| v_xa = X1 ),
inference(resolution,[],[f16,f31]) ).
fof(f242,plain,
! [X0,X1] :
( v_xb(X0) = v_xb(X1)
| v_xa = X0
| v_xa = X1 ),
inference(resolution,[],[f173,f31]) ).
fof(f254,plain,
! [X0,X1] :
( v_xb(X0) != X1
| v_xa = X1
| v_xa = X0
| v_xa = X1 ),
inference(superposition,[],[f33,f242]) ).
fof(f256,plain,
! [X0,X1] :
( v_xb(X0) != X1
| v_xa = X1
| v_xa = X0 ),
inference(duplicate_literal_removal,[],[f254]) ).
fof(f305,plain,
! [X0] :
( v_xa = v_xb(X0)
| v_xa = X0 ),
inference(equality_resolution,[],[f256]) ).
fof(f313,plain,
! [X0] :
( c_Natural_Oevalc(v_c,v_x,v_xa)
| v_xa = X0
| v_xa = X0 ),
inference(superposition,[],[f31,f305]) ).
fof(f322,plain,
! [X0] :
( c_Natural_Oevalc(v_c,v_x,v_xa)
| v_xa = X0 ),
inference(duplicate_literal_removal,[],[f313]) ).
fof(f325,plain,
! [X0] : v_xa = X0,
inference(forward_subsumption_resolution,[],[f322,f29]) ).
fof(f326,plain,
spl0_2,
inference(avatar_split_clause,[],[f325,f42]) ).
cnf(s50,plain,
~ spl0_2,
inference(sat_conversion,[],[f62]) ).
cnf(s191,plain,
spl0_2,
inference(sat_conversion,[],[f326]) ).
cnf(s193,plain,
$false,
inference(rat,[],[s50,s191]) ).
fof(f327,plain,
$false,
inference(avatar_sat_refutation,[],[s193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV864-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n011.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 12:45:01 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.19/0.27 % (3364214)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (3364221)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2749800392:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (3364221) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3364214-3364221"...
% 0.19/0.27 % (3364220)% WARNING: option uhcvi not known.
% 0.19/0.27 % (3364221)...printing done.
% 0.19/0.27 % (3364221)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (3364221)------------------------------
% 0.19/0.27 % (3364221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (3364221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (3364221)CaDiCaL version: 2.1.3
% 0.19/0.27 % (3364221)Termination reason: Refutation
% 0.19/0.27 % (3364221)Time elapsed: 0.004 s
% 0.19/0.27 % (3364221)Peak memory usage: 12 MB
% 0.19/0.27 % (3364221)Instructions burned: 8 (million)
% 0.19/0.27 % (3364214)Success in time 0.032 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------