%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN648-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 02:17:48 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 74 ( 36 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
fof(f14,negated_conjecture,
p2(c27,c30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
fof(f15,negated_conjecture,
p26(c31,c30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_15) ).
fof(f16,negated_conjecture,
~ p24(f4(c27,c28),c29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p24_16) ).
fof(f30,negated_conjecture,
! [X0,X1] :
( ~ p24(f4(f6(c32,c30),X0),X1)
| p24(f4(c30,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_30) ).
fof(f43,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p24(f4(X3,f17(f19(f21(f23(c33,X0),X1),X2),X3)),f9(f11(f13(f15(c34,X0),X1),X2),X3))
| ~ p3(X0,X1)
| ~ p2(X2,X3)
| ~ p26(c31,X3)
| ~ p3(X1,f4(X2,c28))
| p24(X0,c29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_43) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1] :
( p24(f4(f6(c32,X1),f17(f19(f21(f23(c33,X0),X2),X3),X1)),f9(f11(f13(f15(c34,X0),X2),X3),X1))
| p24(X0,c29)
| ~ p3(X0,X2)
| ~ p2(X3,X1)
| ~ p26(c31,X1)
| ~ p3(X2,f4(X3,c28)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_44) ).
fof(f109,plain,
! [X2,X0,X1] :
( p24(X0,c29)
| ~ p3(X0,X1)
| ~ p2(X2,c30)
| ~ p26(c31,c30)
| ~ p3(X1,f4(X2,c28))
| p24(f4(c30,f17(f19(f21(f23(c33,X0),X1),X2),c30)),f9(f11(f13(f15(c34,X0),X1),X2),c30)) ),
inference(resolution,[],[f44,f30]) ).
fof(f111,plain,
! [X2,X0,X1] :
( p24(f4(c30,f17(f19(f21(f23(c33,X0),X1),X2),c30)),f9(f11(f13(f15(c34,X0),X1),X2),c30))
| ~ p3(X0,X1)
| ~ p2(X2,c30)
| ~ p3(X1,f4(X2,c28))
| p24(X0,c29) ),
inference(forward_subsumption_resolution,[],[f109,f15]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ~ p3(X0,X1)
| ~ p2(X2,c30)
| ~ p3(X1,f4(X2,c28))
| p24(X0,c29)
| ~ p3(X0,X1)
| ~ p2(X2,c30)
| ~ p26(c31,c30)
| ~ p3(X1,f4(X2,c28))
| p24(X0,c29) ),
inference(resolution,[],[f111,f43]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ p3(X0,X1)
| ~ p2(X2,c30)
| ~ p3(X1,f4(X2,c28))
| p24(X0,c29)
| ~ p26(c31,c30) ),
inference(duplicate_literal_removal,[],[f160]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ p3(X1,f4(X2,c28))
| ~ p2(X2,c30)
| ~ p3(X0,X1)
| p24(X0,c29) ),
inference(forward_subsumption_resolution,[],[f162,f15]) ).
fof(f164,plain,
! [X0,X1] :
( ~ p3(X1,f4(X0,c28))
| ~ p2(X0,c30)
| p24(X1,c29) ),
inference(resolution,[],[f163,f5]) ).
fof(f170,plain,
! [X0] :
( p24(f4(X0,c28),c29)
| ~ p2(X0,c30) ),
inference(resolution,[],[f164,f5]) ).
fof(f178,plain,
~ p2(c27,c30),
inference(resolution,[],[f170,f16]) ).
fof(f190,plain,
$false,
inference(forward_subsumption_resolution,[],[f178,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN648-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n026.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 16:42:12 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.26 % (4004187)Will run a generic schedule for satisfiability detection.
% 0.19/0.26 % (4004195)dis+10_1_sil=32000:sp=arity:random_seed=750406635:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.26 % (4004195) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4004187-4004195"...
% 0.19/0.26 % (4004193)% WARNING: option uhcvi not known.
% 0.19/0.26 % (4004195)...printing done.
% 0.19/0.26 % (4004195)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (4004195)------------------------------
% 0.19/0.27 % (4004195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (4004195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (4004195)CaDiCaL version: 2.1.3
% 0.19/0.27 % (4004195)Termination reason: Refutation
% 0.19/0.27 % (4004195)Time elapsed: 0.003 s
% 0.19/0.27 % (4004195)Peak memory usage: 11 MB
% 0.19/0.27 % (4004195)Instructions burned: 7 (million)
% 0.19/0.27 % (4004187)Success in time 0.028 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------