%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN252-1 : 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 : n010.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 02:07:07 PM UTC 2026
% Result : Unsatisfiable 0.35s 0.41s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 30
% Syntax : Number of formulae : 98 ( 28 unt; 9 def)
% Number of atoms : 218 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 239 ( 119 ~; 111 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 10 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 102 ( 0 sgn 102 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f88,axiom,
! [X0,X1] :
( n1(X0,X1,X0)
| ~ s0(b)
| ~ l0(X0)
| ~ p0(b,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_050) ).
fof(f92,axiom,
! [X2,X0,X1] :
( ~ n1(X0,X1,X0)
| ~ l0(X2)
| ~ l1(X2,X0)
| n1(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_054) ).
fof(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f215,axiom,
! [X0,X1] :
( q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_177) ).
fof(f219,axiom,
! [X0] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f220,axiom,
! [X2,X0,X1] :
( ~ q2(X1,X2,X0)
| ~ p1(X0,X0,X2)
| ~ n1(X1,X0,X2)
| q2(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_182) ).
fof(f227,axiom,
! [X0] :
( s2(X0)
| ~ q2(b,X0,b)
| ~ s1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( ~ q2(X2,X0,X2)
| s3(X0,X1)
| ~ s2(X0)
| ~ m0(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_273) ).
fof(f317,axiom,
! [X2,X0,X1] :
( ~ s3(a,X0)
| ~ l2(X2,X1)
| m4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_279) ).
fof(f369,negated_conjecture,
! [X0] : ~ m4(X0,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f446,definition,
( spl0_12
<=> ! [X0] : s1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f447,plain,
( ! [X0] : s1(X0)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f449,definition,
( spl0_13
<=> ! [X0] : ~ p0(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f450,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f451,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f452,plain,
( $false
| ~ spl0_13 ),
inference(resolution,[],[f450,f14]) ).
fof(f453,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f469,plain,
l1(a,a),
inference(resolution,[],[f40,f37]) ).
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(f1037,plain,
! [X0] :
( ~ q2(b,X0,b)
| s2(X0) ),
inference(global_subsumption,[],[f227,f451]) ).
fof(f1056,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f1058,plain,
spl0_19,
inference(avatar_split_clause,[],[f1056,f483]) ).
fof(f1064,definition,
( spl0_83
<=> ! [X2] : ~ s1(X2) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f1065,plain,
( ! [X2] : ~ s1(X2)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1067,definition,
( spl0_84
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f1068,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1069,plain,
( spl0_83
| spl0_84 ),
inference(avatar_split_clause,[],[f164,f1067,f1064]) ).
fof(f1070,plain,
( $false
| ~ spl0_83 ),
inference(resolution,[],[f1065,f451]) ).
fof(f1071,plain,
~ spl0_83,
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1074,plain,
( ! [X0] : s1(X0)
| ~ spl0_84 ),
inference(resolution,[],[f1068,f17]) ).
fof(f1083,plain,
( spl0_12
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1074,f1067,f446]) ).
fof(f1165,definition,
( spl0_96
<=> ! [X0,X1] : m4(X0,X1) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f1166,plain,
( ! [X0,X1] : m4(X0,X1)
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1173,plain,
( $false
| ~ spl0_96 ),
inference(resolution,[],[f1166,f369]) ).
fof(f1174,plain,
~ spl0_96,
inference(avatar_contradiction_clause,[],[f1173]) ).
fof(f1410,plain,
( ! [X0,X1] :
( q2(X0,X1,X1)
| ~ k0(X1) )
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f215,f484]) ).
fof(f1441,plain,
( ! [X0] : q2(X0,X0,X0)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f219,f484]) ).
fof(f1805,plain,
( ! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ m0(X3,X2,X0) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f171,f447]) ).
fof(f2063,definition,
( spl0_187
<=> ! [X0] : l2(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
fof(f2064,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f2066,definition,
( spl0_188
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
fof(f2067,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f2068,plain,
( spl0_13
| spl0_188
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1805,f446,f2066,f449]) ).
fof(f2080,plain,
( ! [X2,X0,X1] :
( s3(X0,X1)
| ~ s2(X0)
| ~ m0(X0,X2,X1) )
| ~ spl0_19 ),
inference(resolution,[],[f311,f1441]) ).
fof(f2083,plain,
( ! [X2,X0,X1] :
( ~ m0(X0,X2,X1)
| ~ s2(X0)
| s3(X0,X1) )
| ~ spl0_19 ),
inference(global_subsumption,[],[f2080]) ).
fof(f2100,plain,
( ! [X0,X1] :
( s3(X0,X1)
| ~ s2(X0) )
| ~ spl0_19 ),
inference(resolution,[],[f2083,f19]) ).
fof(f2113,plain,
( ! [X2,X0,X1] :
( ~ s2(a)
| ~ l2(X0,X1)
| m4(X2,X1) )
| ~ spl0_19 ),
inference(resolution,[],[f2100,f317]) ).
fof(f2116,definition,
( spl0_190
<=> s2(a) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
fof(f2117,plain,
( s2(a)
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f2116]) ).
fof(f2118,plain,
( ~ s2(a)
| spl0_190 ),
inference(avatar_component_clause,[],[f2116]) ).
fof(f2264,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_188 ),
inference(resolution,[],[f2067,f19]) ).
fof(f2274,plain,
( spl0_187
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f2264,f2066,f2063]) ).
fof(f2276,plain,
( ! [X2,X0,X1] :
( ~ l2(X0,X1)
| m4(X2,X1) )
| ~ spl0_19
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f2113,f2117]) ).
fof(f2277,plain,
( ! [X0,X1] : m4(X0,X1)
| ~ spl0_19
| ~ spl0_187
| ~ spl0_190 ),
inference(resolution,[],[f2276,f2064]) ).
fof(f2278,plain,
( spl0_96
| ~ spl0_19
| ~ spl0_187
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f2277,f2116,f2063,f483,f1165]) ).
fof(f2297,plain,
! [X0,X1] :
( n1(X0,X1,X0)
| ~ l0(X0)
| ~ p0(b,X1) ),
inference(forward_subsumption_resolution,[],[f88,f5]) ).
fof(f2299,plain,
! [X0,X1] :
( n1(X0,X1,X0)
| ~ l0(X0) ),
inference(forward_subsumption_resolution,[],[f2297,f14]) ).
fof(f2399,plain,
( ! [X0,X1] :
( ~ p1(X0,X0,X0)
| ~ n1(X1,X0,X0)
| q2(X0,X1,X0)
| ~ k0(X0) )
| ~ spl0_19 ),
inference(resolution,[],[f220,f1410]) ).
fof(f2404,plain,
( ! [X0,X1] :
( ~ n1(X1,X0,X0)
| q2(X0,X1,X0)
| ~ k0(X0) )
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f2399,f484]) ).
fof(f2922,plain,
! [X2,X0,X1] :
( ~ l1(X0,X1)
| ~ l0(X0)
| n1(X1,X2,X2)
| ~ l0(X1) ),
inference(resolution,[],[f92,f2299]) ).
fof(f3015,plain,
! [X0] :
( ~ l0(a)
| n1(a,X0,X0)
| ~ l0(a) ),
inference(resolution,[],[f2922,f469]) ).
fof(f3022,plain,
! [X0] :
( ~ l0(a)
| n1(a,X0,X0) ),
inference(duplicate_literal_removal,[],[f3015]) ).
fof(f3028,plain,
! [X0] : n1(a,X0,X0),
inference(forward_subsumption_resolution,[],[f3022,f20]) ).
fof(f3036,plain,
( ! [X0] :
( q2(X0,a,X0)
| ~ k0(X0) )
| ~ spl0_19 ),
inference(resolution,[],[f3028,f2404]) ).
fof(f3046,plain,
( ~ k0(b)
| s2(a)
| ~ spl0_19 ),
inference(resolution,[],[f3036,f1037]) ).
fof(f3051,plain,
( s2(a)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f3046,f32]) ).
fof(f3052,plain,
( $false
| ~ spl0_19
| spl0_190 ),
inference(forward_subsumption_resolution,[],[f3051,f2118]) ).
fof(f3053,plain,
( ~ spl0_19
| spl0_190 ),
inference(avatar_contradiction_clause,[],[f3052]) ).
cnf(s451,plain,
~ spl0_13,
inference(sat_conversion,[],[f453]) ).
cnf(s990,plain,
spl0_19,
inference(sat_conversion,[],[f1058]) ).
cnf(s1000,plain,
( spl0_83
| spl0_84 ),
inference(sat_conversion,[],[f1069]) ).
cnf(s1004,plain,
~ spl0_83,
inference(sat_conversion,[],[f1071]) ).
cnf(s1018,plain,
( spl0_12
| ~ spl0_84 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s1086,plain,
~ spl0_96,
inference(sat_conversion,[],[f1174]) ).
cnf(s1725,plain,
( ~ spl0_12
| spl0_13
| spl0_188 ),
inference(sat_conversion,[],[f2068]) ).
cnf(s1876,plain,
( spl0_187
| ~ spl0_188 ),
inference(sat_conversion,[],[f2274]) ).
cnf(s1890,plain,
( ~ spl0_19
| spl0_96
| ~ spl0_187
| ~ spl0_190 ),
inference(sat_conversion,[],[f2278]) ).
cnf(s2325,plain,
( ~ spl0_19
| spl0_190 ),
inference(sat_conversion,[],[f3053]) ).
cnf(s2328,plain,
spl0_84,
inference(rat,[],[s1000,s1004]) ).
cnf(s2329,plain,
spl0_12,
inference(rat,[],[s1018,s2328]) ).
cnf(s2331,plain,
spl0_190,
inference(rat,[],[s2325,s990]) ).
cnf(s2332,plain,
~ spl0_187,
inference(rat,[],[s1890,s2331,s1086,s990]) ).
cnf(s2336,plain,
~ spl0_188,
inference(rat,[],[s1876,s2332]) ).
cnf(s2337,plain,
spl0_13,
inference(rat,[],[s1725,s2329,s2336]) ).
cnf(s2359,plain,
$false,
inference(rat,[],[s451,s2337]) ).
fof(f3054,plain,
$false,
inference(avatar_sat_refutation,[],[s2359]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN252-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.29 % Computer : n010.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8046.5625MB
% 0.12/0.29 % OS : Linux 6.8.0-71-generic
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Mon Sep 28 15:39:33 UTC 2026
% 0.12/0.29 % CPUTime :
% 0.12/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.30/0.34 Running first-order model finding
% 0.30/0.34 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
% 0.35/0.41 % (2021739)Will run a generic schedule for satisfiability detection.
% 0.35/0.41 % (2021746)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=422574800:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.35/0.41 % (2021745)% WARNING: option uhcvi not known.
% 0.35/0.41 % (2021745)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=718049125:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.35/0.41 % (2021744)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=181610661_2999 on theBenchmark for (2999ds/0Mi)
% 0.35/0.41 % (2021747)dis+10_1_sil=32000:sp=arity:random_seed=2180938825:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.35/0.41 % (2021748)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3042493804:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.35/0.41 % (2021749)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3285546523:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.35/0.41 % (2021750)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3585580738:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.35/0.41 % (2021746) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2021739-2021746"...
% 0.35/0.41 % (2021746)...printing done.
% 0.35/0.41 % Detected minimum model sizes of [1]
% 0.35/0.41 % Detected maximum model sizes of [5]
% 0.35/0.41 % TRYING [1]
% 0.35/0.41 % (2021746)Refutation found. Thanks to Tanya!
% 0.35/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.35/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.41 % (2021746)------------------------------
% 0.35/0.41 % (2021746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.41 % (2021746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.41 % (2021746)CaDiCaL version: 2.1.3
% 0.35/0.41 % (2021746)Termination reason: Refutation
% 0.35/0.41 % (2021746)Time elapsed: 0.028 s
% 0.35/0.41 % (2021746)Peak memory usage: 14 MB
% 0.35/0.41 % (2021746)Instructions burned: 78 (million)
% 0.35/0.41 % (2021739)Success in time 0.056 s
% 0.35/0.41 % Vampire exiting
%------------------------------------------------------------------------------