%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN215-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 02:07:02 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 27
% Syntax : Number of formulae : 91 ( 25 unt; 11 def)
% Number of atoms : 178 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 180 ( 93 ~; 76 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 12 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f10,axiom,
p0(b,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_10) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f212,axiom,
! [X0] :
( p2(X0,X0,X0)
| ~ n2(X0)
| ~ k1(e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_174) ).
fof(f219,axiom,
! [X0] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).
fof(f282,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f293,axiom,
! [X2,X0,X1] :
( ~ q2(X2,X0,X1)
| q3(X0,X1)
| ~ n0(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_255) ).
fof(f315,axiom,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_277) ).
fof(f336,axiom,
! [X2,X3,X0,X1] :
( r4(X0)
| ~ n3(X0)
| ~ q3(X1,X2)
| ~ p0(X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_298) ).
fof(f367,axiom,
! [X0,X1] :
( s5(X0)
| ~ l4(X0)
| ~ r4(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_329) ).
fof(f369,negated_conjecture,
~ s5(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f415,plain,
k1(e),
inference(resolution,[],[f39,f3]) ).
fof(f458,definition,
( spl0_15
<=> ! [X0] : ~ r4(X0) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f459,plain,
( ! [X0] : ~ r4(X0)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f483,definition,
( spl0_19
<=> ! [X0] : p1(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f484,plain,
( ! [X0] : p1(X0,X0,X0)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f498,definition,
( spl0_21
<=> ! [X0] : n2(X0) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f499,plain,
( ! [X0] : n2(X0)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f547,definition,
( spl0_29
<=> ! [X0] : n3(X0) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f548,plain,
( ! [X0] : n3(X0)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f559,definition,
( spl0_31
<=> ! [X0] : p2(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f560,plain,
( ! [X0] : p2(X0,X0,X0)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f578,definition,
( spl0_33
<=> ! [X0] : l4(X0) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f579,plain,
( ! [X0] : l4(X0)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f637,plain,
( ! [X0] : n2(X0)
| ~ spl0_19 ),
inference(resolution,[],[f484,f175]) ).
fof(f642,definition,
( spl0_38
<=> ! [X0,X1] : ~ p0(X1,X0) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f643,plain,
( ! [X0,X1] : ~ p0(X1,X0)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f645,plain,
( $false
| ~ spl0_38 ),
inference(resolution,[],[f643,f10]) ).
fof(f650,plain,
~ spl0_38,
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f925,plain,
! [X0] :
( p2(X0,X0,X0)
| ~ n2(X0) ),
inference(forward_subsumption_resolution,[],[f212,f415]) ).
fof(f948,plain,
( ! [X0] : n3(X0)
| ~ spl0_31 ),
inference(resolution,[],[f560,f278]) ).
fof(f1002,definition,
( spl0_79
<=> ! [X1] : ~ n0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f1003,plain,
( ! [X1] : ~ n0(X1,X1)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1005,plain,
( $false
| ~ spl0_79 ),
inference(resolution,[],[f1003,f30]) ).
fof(f1006,plain,
~ spl0_79,
inference(avatar_contradiction_clause,[],[f1005]) ).
fof(f1099,plain,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
inference(global_subsumption,[],[f282]) ).
fof(f1101,plain,
( spl0_21
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f637,f483,f498]) ).
fof(f1106,plain,
! [X0] :
( ~ n2(X0)
| l4(X0) ),
inference(resolution,[],[f1099,f315]) ).
fof(f1352,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f1354,plain,
spl0_19,
inference(avatar_split_clause,[],[f1352,f483]) ).
fof(f1357,plain,
( ! [X0] : q2(X0,X0,X0)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f219,f484]) ).
fof(f1359,plain,
( ! [X0] :
( q3(X0,X0)
| ~ n0(X0,X0) )
| ~ spl0_19 ),
inference(resolution,[],[f1357,f293]) ).
fof(f1420,plain,
( spl0_29
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f948,f559,f547]) ).
fof(f1512,plain,
( ! [X0,X1] :
( s5(X0)
| ~ r4(X1) )
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f367,f579]) ).
fof(f1516,definition,
( spl0_134
<=> ! [X0] : s5(X0) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1517,plain,
( ! [X0] : s5(X0)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f1518,plain,
( spl0_15
| spl0_134
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1512,f578,f1516,f458]) ).
fof(f1519,plain,
( $false
| ~ spl0_134 ),
inference(resolution,[],[f1517,f369]) ).
fof(f1520,plain,
~ spl0_134,
inference(avatar_contradiction_clause,[],[f1519]) ).
fof(f1521,plain,
( ! [X0] : l4(X0)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1106,f499]) ).
fof(f1526,plain,
( spl0_33
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1521,f498,f578]) ).
fof(f1533,plain,
( ! [X2,X3,X0,X1] :
( ~ n3(X0)
| ~ q3(X1,X2)
| ~ p0(X3,X0) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f336,f459]) ).
fof(f1535,definition,
( spl0_135
<=> ! [X2,X1] : ~ q3(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f1536,plain,
( ! [X2,X1] : ~ q3(X1,X2)
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f1541,definition,
( spl0_137
<=> ! [X0,X3] :
( ~ n3(X0)
| ~ p0(X3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f1542,plain,
( ! [X3,X0] :
( ~ n3(X0)
| ~ p0(X3,X0) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f1541]) ).
fof(f1543,plain,
( spl0_135
| spl0_137
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1533,f458,f1541,f1535]) ).
fof(f1552,plain,
( ! [X0] : p2(X0,X0,X0)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f925,f499]) ).
fof(f1564,plain,
( spl0_31
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1552,f498,f559]) ).
fof(f1584,plain,
( ! [X0] : ~ n0(X0,X0)
| ~ spl0_19
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f1359,f1536]) ).
fof(f1585,plain,
( spl0_79
| ~ spl0_19
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1584,f1535,f483,f1002]) ).
fof(f1586,plain,
( ! [X3,X0] : ~ p0(X3,X0)
| ~ spl0_29
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f1542,f548]) ).
fof(f1587,plain,
( spl0_38
| ~ spl0_29
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1586,f1541,f547,f642]) ).
cnf(s621,plain,
~ spl0_38,
inference(sat_conversion,[],[f650]) ).
cnf(s908,plain,
~ spl0_79,
inference(sat_conversion,[],[f1006]) ).
cnf(s1002,plain,
( ~ spl0_19
| spl0_21 ),
inference(sat_conversion,[],[f1101]) ).
cnf(s1193,plain,
spl0_19,
inference(sat_conversion,[],[f1354]) ).
cnf(s1244,plain,
( spl0_29
| ~ spl0_31 ),
inference(sat_conversion,[],[f1420]) ).
cnf(s1318,plain,
( spl0_15
| ~ spl0_33
| spl0_134 ),
inference(sat_conversion,[],[f1518]) ).
cnf(s1321,plain,
~ spl0_134,
inference(sat_conversion,[],[f1520]) ).
cnf(s1332,plain,
( ~ spl0_21
| spl0_33 ),
inference(sat_conversion,[],[f1526]) ).
cnf(s1374,plain,
( ~ spl0_15
| spl0_135
| spl0_137 ),
inference(sat_conversion,[],[f1543]) ).
cnf(s1435,plain,
( ~ spl0_21
| spl0_31 ),
inference(sat_conversion,[],[f1564]) ).
cnf(s1454,plain,
( ~ spl0_19
| spl0_79
| ~ spl0_135 ),
inference(sat_conversion,[],[f1585]) ).
cnf(s1460,plain,
( ~ spl0_29
| spl0_38
| ~ spl0_137 ),
inference(sat_conversion,[],[f1587]) ).
cnf(s1461,plain,
( spl0_15
| ~ spl0_33 ),
inference(rat,[],[s1318,s1321]) ).
cnf(s1463,plain,
spl0_21,
inference(rat,[],[s1002,s1193]) ).
cnf(s1464,plain,
spl0_31,
inference(rat,[],[s1435,s1463]) ).
cnf(s1465,plain,
spl0_33,
inference(rat,[],[s1332,s1463]) ).
cnf(s1467,plain,
spl0_29,
inference(rat,[],[s1244,s1464]) ).
cnf(s1468,plain,
spl0_15,
inference(rat,[],[s1461,s1465]) ).
cnf(s1474,plain,
~ spl0_135,
inference(rat,[],[s1454,s1193,s908]) ).
cnf(s1475,plain,
spl0_137,
inference(rat,[],[s1374,s1468,s1474]) ).
cnf(s1476,plain,
spl0_38,
inference(rat,[],[s1460,s1467,s1475]) ).
cnf(s1482,plain,
$false,
inference(rat,[],[s621,s1476]) ).
fof(f1588,plain,
$false,
inference(avatar_sat_refutation,[],[s1482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN215-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:39:58 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.26 % (1708070)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (1708077)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1190039727:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (1708076)% WARNING: option uhcvi not known.
% 0.08/0.26 % (1708077) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1708070-1708077"...
% 0.08/0.26 % (1708075)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2522115103_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % (1708080)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1025802916:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.26 % (1708077)...printing done.
% 0.08/0.26 % (1708076)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=493929385:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (1708078)dis+10_1_sil=32000:sp=arity:random_seed=1608318666:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (1708079)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=98051863:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (1708077)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (1708077)------------------------------
% 0.08/0.26 % (1708077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (1708077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (1708077)CaDiCaL version: 2.1.3
% 0.08/0.26 % (1708077)Termination reason: Refutation
% 0.08/0.26 % (1708077)Time elapsed: 0.015 s
% 0.08/0.26 % (1708077)Peak memory usage: 13 MB
% 0.08/0.26 % (1708077)Instructions burned: 40 (million)
% 0.08/0.26 % (1708070)Success in time 0.041 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------