%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV865-1 : 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 : n018.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 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 37 ( 28 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 11 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 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_Z,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f31,negated_conjecture,
! [X0] :
( X0 = v_s_H
| c_Natural_Oevalc(v_c,v_Z,v_Z_H(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f32,plain,
! [X0] :
( c_Natural_Oevalc(v_c,v_Z,v_Z_H(X0))
| v_s_H = X0 ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
! [X0] :
( X0 != v_Z_H(X0)
| X0 = v_s_H ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f34,plain,
! [X0] :
( v_Z_H(X0) != X0
| v_s_H = X0 ),
inference(reorient_equations,[],[f33]) ).
fof(f98,plain,
! [X0,X1] :
( ~ c_Natural_Oevalc(v_c,v_Z,X0)
| v_Z_H(X1) = X0
| v_s_H = X1 ),
inference(resolution,[],[f16,f32]) ).
fof(f105,plain,
! [X0,X1] :
( v_Z_H(X0) = v_Z_H(X1)
| v_s_H = X0
| v_s_H = X1 ),
inference(resolution,[],[f98,f32]) ).
fof(f115,plain,
! [X0,X1] :
( v_Z_H(X0) != X1
| v_s_H = X1
| v_s_H = X0
| v_s_H = X1 ),
inference(superposition,[],[f34,f105]) ).
fof(f116,plain,
! [X0,X1] :
( v_Z_H(X0) != X1
| v_s_H = X1
| v_s_H = X0 ),
inference(duplicate_literal_removal,[],[f115]) ).
fof(f130,plain,
! [X0] :
( v_s_H = v_Z_H(X0)
| v_s_H = X0 ),
inference(equality_resolution,[],[f116]) ).
fof(f143,plain,
! [X0] :
( c_Natural_Oevalc(v_c,v_Z,v_s_H)
| v_s_H = X0
| v_s_H = X0 ),
inference(superposition,[],[f32,f130]) ).
fof(f146,plain,
! [X0] :
( c_Natural_Oevalc(v_c,v_Z,v_s_H)
| v_s_H = X0 ),
inference(duplicate_literal_removal,[],[f143]) ).
fof(f152,plain,
! [X0] : v_s_H = X0,
inference(forward_subsumption_resolution,[],[f146,f29]) ).
fof(f166,plain,
c_Com_Ocom_OSKIP != v_s_H,
inference(superposition,[],[f13,f152]) ).
fof(f188,plain,
$false,
inference(forward_subsumption_resolution,[],[f166,f152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV865-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 12:47:40 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.25 % (3358867)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (3358875)dis+10_1_sil=32000:sp=arity:random_seed=1385333058:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.25 % (3358875) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3358867-3358875"...
% 0.09/0.25 % (3358875)...printing done.
% 0.09/0.25 % (3358875)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (3358875)------------------------------
% 0.09/0.26 % (3358875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (3358875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (3358875)CaDiCaL version: 2.1.3
% 0.09/0.26 % (3358875)Termination reason: Refutation
% 0.09/0.26 % (3358875)Time elapsed: 0.002 s
% 0.09/0.26 % (3358875)Peak memory usage: 11 MB
% 0.09/0.26 % (3358875)Instructions burned: 5 (million)
% 0.09/0.26 % (3358867)Success in time 0.023 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------