%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO607+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 02:32:13 PM UTC 2026
% Result : Theorem 0.20s 0.26s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 94 ( 15 unt; 10 def)
% Number of atoms : 316 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 339 ( 117 ~; 177 |; 33 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 11 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 156 ( 0 sgn 114 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ? [X0] :
( g_false_only(a,X0)
& ? [X1] : g_false_only(X0,X1) )
| ? [X0] :
! [X1] : g_true_only(X0,X1)
| ( ? [X0] :
( ( g_both(a,X0)
| ( ? [X1] : g_both(X0,X1)
& ~ ? [X1] : g_false_only(X0,X1) ) )
& ~ g_true_only(a,X0)
& ~ ! [X1] : g_true_only(X0,X1) )
& ~ ? [X0] :
( g_false_only(a,X0)
& ? [X1] : g_false_only(X0,X1) )
& ? [X0] :
( ? [X1] : g_both(X0,X1)
& ~ ? [X1] : g_false_only(X0,X1) )
& ~ ? [X0] :
! [X1] : g_true_only(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc6) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
( g_false_only(a,X0)
& ? [X1] : g_false_only(X0,X1) )
| ? [X0] :
! [X1] : g_true_only(X0,X1)
| ( ? [X0] :
( ( g_both(a,X0)
| ( ? [X1] : g_both(X0,X1)
& ~ ? [X1] : g_false_only(X0,X1) ) )
& ~ g_true_only(a,X0)
& ~ ! [X1] : g_true_only(X0,X1) )
& ~ ? [X0] :
( g_false_only(a,X0)
& ? [X1] : g_false_only(X0,X1) )
& ? [X0] :
( ? [X1] : g_both(X0,X1)
& ~ ? [X1] : g_false_only(X0,X1) )
& ~ ? [X0] :
! [X1] : g_true_only(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0,X1] :
( g_true_only(X0,X1)
<=> ( g_true(X0,X1)
& ~ g_false(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_only_g) ).
fof(f4,axiom,
! [X0,X1] :
( g_both(X0,X1)
<=> ( g_true(X0,X1)
& g_false(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',both_g) ).
fof(f6,axiom,
! [X0,X1] :
( g_true_only(X0,X1)
| g_both(X0,X1)
| g_false_only(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exhaustion_g) ).
fof(f7,plain,
~ ( ? [X0] :
( g_false_only(a,X0)
& ? [X1] : g_false_only(X0,X1) )
| ? [X2] :
! [X3] : g_true_only(X2,X3)
| ( ? [X4] :
( ( g_both(a,X4)
| ( ? [X5] : g_both(X4,X5)
& ~ ? [X6] : g_false_only(X4,X6) ) )
& ~ g_true_only(a,X4)
& ~ ! [X7] : g_true_only(X4,X7) )
& ~ ? [X8] :
( g_false_only(a,X8)
& ? [X9] : g_false_only(X8,X9) )
& ? [X10] :
( ? [X11] : g_both(X10,X11)
& ~ ? [X12] : g_false_only(X10,X12) )
& ~ ? [X13] :
! [X14] : g_true_only(X13,X14) ) ),
inference(rectify,[],[f2]) ).
fof(f8,plain,
( ! [X0] :
( ~ g_false_only(a,X0)
| ! [X1] : ~ g_false_only(X0,X1) )
& ! [X2] :
? [X3] : ~ g_true_only(X2,X3)
& ( ! [X4] :
( ( ~ g_both(a,X4)
& ( ! [X5] : ~ g_both(X4,X5)
| ? [X6] : g_false_only(X4,X6) ) )
| g_true_only(a,X4)
| ! [X7] : g_true_only(X4,X7) )
| ? [X8] :
( g_false_only(a,X8)
& ? [X9] : g_false_only(X8,X9) )
| ! [X10] :
( ! [X11] : ~ g_both(X10,X11)
| ? [X12] : g_false_only(X10,X12) )
| ? [X13] :
! [X14] : g_true_only(X13,X14) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
! [X10,X11,X7,X14,X4,X5] :
( g_true_only(sK0,X14)
| g_false_only(X10,sK3(X10))
| ~ g_both(X10,X11)
| g_false_only(a,sK1)
| g_true_only(X4,X7)
| g_true_only(a,X4)
| g_false_only(X4,sK5(X4))
| ~ g_both(X4,X5) ),
inference(cnf_transformation,[],[f8]) ).
fof(f10,plain,
! [X10,X11,X7,X14,X4,X5] :
( g_true_only(sK0,X14)
| g_false_only(X10,sK3(X10))
| ~ g_both(X10,X11)
| g_false_only(sK1,sK4)
| g_true_only(X4,X7)
| g_true_only(a,X4)
| g_false_only(X4,sK5(X4))
| ~ g_both(X4,X5) ),
inference(cnf_transformation,[],[f8]) ).
fof(f11,plain,
! [X10,X11,X7,X14,X4] :
( g_true_only(sK0,X14)
| g_false_only(X10,sK3(X10))
| ~ g_both(X10,X11)
| g_false_only(sK1,sK4)
| g_true_only(X4,X7)
| g_true_only(a,X4)
| ~ g_both(a,X4) ),
inference(cnf_transformation,[],[f8]) ).
fof(f12,plain,
! [X10,X11,X7,X14,X4] :
( g_true_only(sK0,X14)
| g_false_only(X10,sK3(X10))
| ~ g_both(X10,X11)
| g_false_only(a,sK1)
| g_true_only(X4,X7)
| g_true_only(a,X4)
| ~ g_both(a,X4) ),
inference(cnf_transformation,[],[f8]) ).
fof(f13,plain,
! [X0,X1] :
( ~ g_false_only(X0,X1)
| ~ g_false_only(a,X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f14,plain,
! [X2] : ~ g_true_only(X2,sK2(X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0,X1] :
( ~ g_false(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f18,plain,
! [X0,X1] :
( g_false(X0,X1)
| ~ g_both(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f24,plain,
! [X0,X1] :
( g_both(X0,X1)
| g_false_only(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f26,definition,
( spl6_1
<=> ! [X4,X5,X7] :
( g_true_only(X4,X7)
| ~ g_both(X4,X5)
| g_false_only(X4,sK5(X4))
| g_true_only(a,X4) ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f27,plain,
( ! [X7,X4,X5] :
( ~ g_both(X4,X5)
| g_true_only(X4,X7)
| g_false_only(X4,sK5(X4))
| g_true_only(a,X4) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f29,definition,
( spl6_2
<=> g_false_only(a,sK1) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f31,plain,
( g_false_only(a,sK1)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f33,definition,
( spl6_3
<=> ! [X11,X10] :
( g_false_only(X10,sK3(X10))
| ~ g_both(X10,X11) ) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f34,plain,
( ! [X10,X11] :
( ~ g_both(X10,X11)
| g_false_only(X10,sK3(X10)) )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f36,definition,
( spl6_4
<=> ! [X14] : g_true_only(sK0,X14) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f37,plain,
( ! [X14] : g_true_only(sK0,X14)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f38,plain,
( spl6_1
| spl6_2
| spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f9,f36,f33,f29,f26]) ).
fof(f40,definition,
( spl6_5
<=> g_false_only(sK1,sK4) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f42,plain,
( g_false_only(sK1,sK4)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f43,plain,
( spl6_1
| spl6_5
| spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f10,f36,f33,f40,f26]) ).
fof(f45,definition,
( spl6_6
<=> ! [X4,X7] :
( g_true_only(X4,X7)
| ~ g_both(a,X4)
| g_true_only(a,X4) ) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f46,plain,
( ! [X7,X4] :
( g_true_only(X4,X7)
| ~ g_both(a,X4)
| g_true_only(a,X4) )
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f47,plain,
( spl6_6
| spl6_5
| spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f11,f36,f33,f40,f45]) ).
fof(f48,plain,
( spl6_6
| spl6_2
| spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f12,f36,f33,f29,f45]) ).
fof(f49,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(resolution,[],[f18,f15]) ).
fof(f63,plain,
( ! [X0,X1] :
( g_false_only(X0,X1)
| g_false_only(X0,sK3(X0))
| g_true_only(X0,X1) )
| ~ spl6_3 ),
inference(resolution,[],[f24,f34]) ).
fof(f68,plain,
( ! [X0,X1] :
( g_false_only(X0,X1)
| g_true_only(X0,X1)
| ~ g_false_only(a,X0) )
| ~ spl6_3 ),
inference(resolution,[],[f63,f13]) ).
fof(f70,plain,
( ! [X0,X1] :
( ~ g_false_only(a,X0)
| g_true_only(X0,X1) )
| ~ spl6_3 ),
inference(forward_subsumption_resolution,[],[f68,f13]) ).
fof(f75,definition,
( spl6_8
<=> g_false_only(a,sK3(a)) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f77,plain,
( g_false_only(a,sK3(a))
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f80,plain,
( $false
| ~ spl6_4 ),
inference(resolution,[],[f37,f14]) ).
fof(f81,plain,
~ spl6_4,
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f82,plain,
( ! [X7,X4] :
( ~ g_both(a,X4)
| g_true_only(X4,X7) )
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f46,f49]) ).
fof(f83,plain,
( ! [X0,X1] :
( g_false_only(a,X0)
| g_true_only(X0,X1)
| g_true_only(a,X0) )
| ~ spl6_6 ),
inference(resolution,[],[f82,f24]) ).
fof(f84,plain,
( ! [X2,X0,X1] :
( g_false_only(X0,sK5(X0))
| g_false_only(X0,X2)
| g_true_only(a,X0)
| g_true_only(X0,X1)
| g_true_only(X0,X2) )
| ~ spl6_1 ),
inference(resolution,[],[f27,f24]) ).
fof(f85,plain,
( ! [X2,X0,X1] :
( ~ g_false_only(X0,X2)
| g_true_only(a,X0)
| g_true_only(X0,X1) )
| ~ spl6_6 ),
inference(resolution,[],[f83,f13]) ).
fof(f93,definition,
( spl6_10
<=> ! [X0,X1] :
( g_true_only(X0,X1)
| g_true_only(a,X0) ) ),
introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition]) ).
fof(f94,plain,
( ! [X0,X1] :
( g_true_only(X0,X1)
| g_true_only(a,X0) )
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f99,plain,
( ! [X2,X0,X1] :
( g_false_only(X0,sK5(X0))
| g_true_only(a,X0)
| g_true_only(X0,X2)
| g_true_only(X0,X1)
| ~ g_false_only(a,X0) )
| ~ spl6_1 ),
inference(resolution,[],[f84,f13]) ).
fof(f104,plain,
( ! [X2,X0,X1] :
( g_true_only(a,X0)
| g_true_only(X0,X2)
| g_true_only(X0,X1)
| ~ g_false_only(a,X0) )
| ~ spl6_1
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f99,f85]) ).
fof(f108,definition,
( spl6_11
<=> ! [X1] : g_true_only(a,X1) ),
introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).
fof(f109,plain,
( ! [X1] : g_true_only(a,X1)
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f115,plain,
( ! [X2,X0,X1] :
( g_true_only(a,X0)
| g_true_only(X0,X2)
| g_true_only(X0,X1) )
| ~ spl6_1
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f104,f83]) ).
fof(f125,plain,
( ! [X0,X1] :
( g_false_only(X0,sK3(X0))
| g_false_only(X0,X1)
| g_true_only(X0,X1) )
| ~ spl6_3 ),
inference(resolution,[],[f34,f24]) ).
fof(f133,plain,
( ! [X0,X1] :
( g_false_only(a,sK3(a))
| g_true_only(a,X0)
| g_true_only(X0,X1) )
| ~ spl6_3 ),
inference(resolution,[],[f125,f70]) ).
fof(f136,plain,
( spl6_10
| spl6_8
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f133,f33,f75,f93]) ).
fof(f139,definition,
( spl6_13
<=> ! [X1] : g_true_only(sK3(a),X1) ),
introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).
fof(f140,plain,
( ! [X1] : g_true_only(sK3(a),X1)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f146,plain,
( $false
| ~ spl6_13 ),
inference(resolution,[],[f140,f14]) ).
fof(f147,plain,
~ spl6_13,
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f156,plain,
( ! [X0] : g_true_only(a,X0)
| ~ spl6_10 ),
inference(resolution,[],[f94,f14]) ).
fof(f159,plain,
( spl6_11
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f156,f93,f108]) ).
fof(f160,plain,
( $false
| ~ spl6_11 ),
inference(resolution,[],[f109,f14]) ).
fof(f161,plain,
~ spl6_11,
inference(avatar_contradiction_clause,[],[f160]) ).
fof(f167,plain,
( ~ g_false_only(a,sK1)
| ~ spl6_5 ),
inference(resolution,[],[f42,f13]) ).
fof(f168,plain,
( $false
| ~ spl6_2
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f167,f31]) ).
fof(f169,plain,
( ~ spl6_2
| ~ spl6_5 ),
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f207,plain,
( ! [X0,X1] :
( g_true_only(a,X0)
| g_true_only(X0,X1) )
| ~ spl6_1
| ~ spl6_6 ),
inference(factoring,[],[f115]) ).
fof(f208,plain,
( spl6_10
| ~ spl6_1
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f207,f45,f26,f93]) ).
fof(f225,plain,
( ! [X0] : g_true_only(sK3(a),X0)
| ~ spl6_3
| ~ spl6_8 ),
inference(resolution,[],[f70,f77]) ).
fof(f228,plain,
( spl6_13
| ~ spl6_3
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f225,f75,f33,f139]) ).
cnf(s1,plain,
( spl6_1
| spl6_2
| spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f38]) ).
cnf(s2,plain,
( spl6_1
| spl6_3
| spl6_4
| spl6_5 ),
inference(sat_conversion,[],[f43]) ).
cnf(s3,plain,
( spl6_3
| spl6_4
| spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f47]) ).
cnf(s4,plain,
( spl6_2
| spl6_3
| spl6_4
| spl6_6 ),
inference(sat_conversion,[],[f48]) ).
cnf(s6,plain,
~ spl6_4,
inference(sat_conversion,[],[f81]) ).
cnf(s9,plain,
( ~ spl6_3
| spl6_8
| spl6_10 ),
inference(sat_conversion,[],[f136]) ).
cnf(s11,plain,
~ spl6_13,
inference(sat_conversion,[],[f147]) ).
cnf(s13,plain,
( ~ spl6_10
| spl6_11 ),
inference(sat_conversion,[],[f159]) ).
cnf(s14,plain,
~ spl6_11,
inference(sat_conversion,[],[f161]) ).
cnf(s15,plain,
( ~ spl6_2
| ~ spl6_5 ),
inference(sat_conversion,[],[f169]) ).
cnf(s21,plain,
( ~ spl6_1
| ~ spl6_6
| spl6_10 ),
inference(sat_conversion,[],[f208]) ).
cnf(s24,plain,
( ~ spl6_3
| ~ spl6_8
| spl6_13 ),
inference(sat_conversion,[],[f228]) ).
cnf(s27,plain,
~ spl6_10,
inference(rat,[],[s13,s14]) ).
cnf(s29,plain,
( ~ spl6_3
| spl6_8 ),
inference(rat,[],[s9,s27]) ).
cnf(s32,plain,
( spl6_2
| spl6_3
| spl6_6 ),
inference(rat,[],[s4,s6]) ).
cnf(s33,plain,
( spl6_3
| spl6_5
| spl6_6 ),
inference(rat,[],[s3,s6]) ).
cnf(s34,plain,
( spl6_1
| spl6_3
| spl6_5 ),
inference(rat,[],[s2,s6]) ).
cnf(s35,plain,
( spl6_1
| spl6_2
| spl6_3 ),
inference(rat,[],[s1,s6]) ).
cnf(s36,plain,
~ spl6_3,
inference(rat,[],[s29,s24,s11]) ).
cnf(s37,plain,
spl6_1,
inference(rat,[],[s15,s34,s35,s36]) ).
cnf(s38,plain,
~ spl6_6,
inference(rat,[],[s21,s27,s37]) ).
cnf(s39,plain,
spl6_2,
inference(rat,[],[s32,s36,s38]) ).
cnf(s40,plain,
spl6_5,
inference(rat,[],[s33,s36,s38]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s15,s40,s39]) ).
fof(f230,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO607+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n001.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 18:00:34 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 0.20/0.26 % (577231)Will run a generic schedule for satisfiability detection.
% 0.20/0.26 % (577240)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=532958303:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.26 % (577240) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-577231-577240"...
% 0.20/0.26 % (577237)% WARNING: option uhcvi not known.
% 0.20/0.26 % (577240)...printing done.
% 0.20/0.26 % (577240)Refutation found. Thanks to Tanya!
% 0.20/0.26 % SZS status Theorem for theBenchmark
% 0.20/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (577240)------------------------------
% 0.20/0.27 % (577240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (577240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (577240)CaDiCaL version: 2.1.3
% 0.20/0.27 % (577240)Termination reason: Refutation
% 0.20/0.27 % (577240)Time elapsed: 0.003 s
% 0.20/0.27 % (577240)Peak memory usage: 12 MB
% 0.20/0.27 % (577240)Instructions burned: 7 (million)
% 0.20/0.27 % (577231)Success in time 0.03 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------