%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU198+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:52:20 PM UTC 2026
% Result : Theorem 0.35s 20.84s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 16 unt; 2 def)
% Number of atoms : 102 ( 11 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 97 ( 38 ~; 33 |; 16 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 55 ( 51 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f61,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f112,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,X1)
& in(X0,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t115_relat_1) ).
fof(f113,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t116_relat_1) ).
fof(f114,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
inference(negated_conjecture,[status(cth)],[f113]) ).
fof(f138,axiom,
! [X0] :
( relation(X0)
=> ( relation_rng(X0) = relation_dom(relation_inverse(X0))
& relation_dom(X0) = relation_rng(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
fof(f215,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f235,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f272,plain,
! [X0,X1,X2] :
( ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,X1)
& in(X0,relation_rng(X2)) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f112]) ).
fof(f273,plain,
? [X0,X1] :
( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),X0)
& relation(X1) ),
inference(ennf_transformation,[],[f114]) ).
fof(f299,plain,
! [X0] :
( ( relation_rng(X0) = relation_dom(relation_inverse(X0))
& relation_dom(X0) = relation_rng(relation_inverse(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f138]) ).
fof(f397,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f215]) ).
fof(f398,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f397]) ).
fof(f399,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK26(X0,X1),X1)
& in(sK26(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X2,sK26(X0,X1))],[f398]) ).
fof(f444,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ in(X0,X1)
| ~ in(X0,relation_rng(X2)) )
& ( ( in(X0,X1)
& in(X0,relation_rng(X2)) )
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f272]) ).
fof(f445,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ in(X0,X1)
| ~ in(X0,relation_rng(X2)) )
& ( ( in(X0,X1)
& in(X0,relation_rng(X2)) )
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) )
| ~ relation(X2) ),
inference(flattening,[],[f444]) ).
fof(f446,plain,
( ~ subset(relation_rng(relation_rng_restriction(sK53,sK54)),sK53)
& relation(sK54) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54]),skolemize(X0,sK53),skolemize(X1,sK54)],[f273]) ).
fof(f549,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK26(X0,X1),X0) ),
inference(cnf_transformation,[],[f399]) ).
fof(f550,plain,
! [X0,X1] :
( ~ in(sK26(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f399]) ).
fof(f609,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f678,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| in(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f445]) ).
fof(f680,plain,
relation(sK54),
inference(cnf_transformation,[],[f446]) ).
fof(f681,plain,
~ subset(relation_rng(relation_rng_restriction(sK53,sK54)),sK53),
inference(cnf_transformation,[],[f446]) ).
fof(f714,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_dom(relation_inverse(X0)) ),
inference(cnf_transformation,[],[f299]) ).
fof(f970,definition,
sF63 = relation_rng_restriction(sK53,sK54),
introduced(definition,[new_symbols(definition,[sF63])],[function_definition]) ).
fof(f971,plain,
relation_rng_restriction(sK53,sK54) = sF63,
inference(reorient_equations,[],[f970]) ).
fof(f972,definition,
sF64 = relation_rng(sF63),
introduced(definition,[new_symbols(definition,[sF64])],[function_definition]) ).
fof(f973,plain,
relation_rng(sF63) = sF64,
inference(reorient_equations,[],[f972]) ).
fof(f974,plain,
~ subset(sF64,sK53),
inference(definition_folding,[],[f681,f973,f971]) ).
fof(f1064,plain,
( relation(sF63)
| ~ relation(sK54) ),
inference(superposition,[],[f609,f971]) ).
fof(f1065,plain,
relation(sF63),
inference(forward_subsumption_resolution,[],[f1064,f680]) ).
fof(f1308,plain,
relation_rng(sF63) = relation_dom(relation_inverse(sF63)),
inference(resolution,[],[f714,f1065]) ).
fof(f1444,plain,
sF64 = relation_dom(relation_inverse(sF63)),
inference(superposition,[],[f973,f1308]) ).
fof(f1450,plain,
in(sK26(sF64,sK53),sF64),
inference(resolution,[],[f549,f974]) ).
fof(f1459,plain,
in(sK26(relation_dom(relation_inverse(sF63)),sK53),relation_dom(relation_inverse(sF63))),
inference(forward_demodulation,[],[f1450,f1444]) ).
fof(f1463,plain,
~ subset(relation_dom(relation_inverse(sF63)),sK53),
inference(superposition,[],[f974,f1444]) ).
fof(f2647,plain,
! [X0] :
( ~ in(X0,relation_rng(sF63))
| in(X0,sK53)
| ~ relation(sK54) ),
inference(superposition,[],[f678,f971]) ).
fof(f2648,plain,
! [X0] :
( ~ in(X0,relation_rng(sF63))
| in(X0,sK53) ),
inference(forward_subsumption_resolution,[],[f2647,f680]) ).
fof(f2649,plain,
! [X0] :
( ~ in(X0,sF64)
| in(X0,sK53) ),
inference(forward_demodulation,[],[f2648,f973]) ).
fof(f2650,plain,
! [X0] :
( ~ in(X0,relation_dom(relation_inverse(sF63)))
| in(X0,sK53) ),
inference(forward_demodulation,[],[f2649,f1444]) ).
fof(f2654,plain,
in(sK26(relation_dom(relation_inverse(sF63)),sK53),sK53),
inference(resolution,[],[f2650,f1459]) ).
fof(f2956,plain,
subset(relation_dom(relation_inverse(sF63)),sK53),
inference(resolution,[],[f2654,f550]) ).
fof(f2963,plain,
$false,
inference(forward_subsumption_resolution,[],[f2956,f1463]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU198+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 % Computer : n016.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.11/20.45 % CPULimit : 300
% 0.11/20.45 % WCLimit : 300
% 0.11/20.45 % DateTime : Mon Sep 28 04:00:22 UTC 2026
% 0.11/20.45 % CPUTime :
% 0.11/20.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/20.48 Running first-order model finding
% 0.11/20.48 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
% 0.35/20.83 % (3564487)Will run a generic schedule for satisfiability detection.
% 0.35/20.83 % (3564496)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=995045749:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.35/20.83 % (3564493)% WARNING: option uhcvi not known.
% 0.35/20.83 % (3564493)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4287844072:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.35/20.83 % (3564494)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=139353946:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.35/20.83 % (3564492)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2549996850_2999 on theBenchmark for (2999ds/0Mi)
% 0.35/20.83 % (3564495)dis+10_1_sil=32000:sp=arity:random_seed=2187425817:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.35/20.83 % (3564497)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1709936590:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.35/20.83 % (3564498)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3577725161:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.35/20.83 % (3564496)Instruction limit reached!
% 0.35/20.83 % (3564496)------------------------------
% 0.35/20.83 % (3564496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/20.83 % (3564496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/20.83 % (3564496)CaDiCaL version: 2.1.3
% 0.35/20.83 % (3564496)Termination reason: Instruction limit
% 0.35/20.83 % (3564496)Termination phase: Saturation
% 0.35/20.83 % (3564496)Time elapsed: 0.040 s
% 0.35/20.83 % (3564496)Peak memory usage: 13 MB
% 0.35/20.83 % (3564496)Instructions burned: 118 (million)
% 0.35/20.83 % TRYING [1]
% 0.35/20.83 % TRYING [2]
% 0.35/20.83 % (3564506)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2648806932:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.35/20.83 % TRYING [1]
% 0.35/20.83 % TRYING [3]
% 0.35/20.83 % TRYING [2]
% 0.35/20.83 % (3564497)Instruction limit reached!
% 0.35/20.83 % (3564497)------------------------------
% 0.35/20.83 % (3564497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/20.83 % (3564497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/20.83 % (3564497)CaDiCaL version: 2.1.3
% 0.35/20.83 % (3564497)Termination reason: Instruction limit
% 0.35/20.83 % (3564497)Termination phase: Saturation
% 0.35/20.83 % (3564497)Time elapsed: 0.065 s
% 0.35/20.83 % (3564497)Peak memory usage: 13 MB
% 0.35/20.83 % (3564497)Instructions burned: 134 (million)
% 0.35/20.83 % (3564495)Instruction limit reached!
% 0.35/20.83 % (3564495)------------------------------
% 0.35/20.83 % (3564495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/20.83 % (3564495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/20.83 % (3564495)CaDiCaL version: 2.1.3
% 0.35/20.83 % (3564495)Termination reason: Instruction limit
% 0.35/20.83 % (3564495)Termination phase: Saturation
% 0.35/20.83 % (3564495)Time elapsed: 0.068 s
% 0.35/20.83 % (3564495)Peak memory usage: 13 MB
% 0.35/20.83 % (3564495)Instructions burned: 104 (million)
% 0.35/20.83 % TRYING [3]
% 0.35/20.83 % (3564508)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2887798821:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.35/20.83 % (3564509)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=239326732:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.35/20.83 % (3564498)Instruction limit reached!
% 0.35/20.83 % (3564498)------------------------------
% 0.35/20.83 % (3564498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/20.83 % (3564498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/20.83 % (3564498)CaDiCaL version: 2.1.3
% 0.35/20.83 % (3564498)Termination reason: Instruction limit
% 0.35/20.83 % (3564498)Termination phase: Saturation
% 0.35/20.83 % (3564498)Time elapsed: 0.098 s
% 0.35/20.83 % (3564498)Peak memory usage: 14 MB
% 0.35/20.83 % (3564498)Instructions burned: 160 (million)
% 0.35/20.83 % (3564512)ott-21_1_sil=16000:fs=off:random_seed=1786596190:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.35/20.83 % TRYING [4]
% 0.35/20.83 % (3564508)Instruction limit reached!
% 0.35/20.83 % (3564508)------------------------------
% 0.35/20.83 % (3564508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/20.83 % (3564508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/20.84 % (3564508)CaDiCaL version: 2.1.3
% 0.35/20.84 % (3564508)Termination reason: Instruction limit
% 0.35/20.84 % (3564508)Termination phase: Saturation
% 0.35/20.84 % (3564508)Time elapsed: 0.071 s
% 0.35/20.84 % (3564508)Peak memory usage: 13 MB
% 0.35/20.84 % (3564508)Instructions burned: 131 (million)
% 0.35/20.84 % (3564514)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3048552045:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.35/20.84 % TRYING [4]
% 0.35/20.84 % (3564506)Instruction limit reached!
% 0.35/20.84 % (3564506)------------------------------
% 0.35/20.84 % (3564506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/20.84 % (3564506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/20.84 % (3564506)CaDiCaL version: 2.1.3
% 0.35/20.84 % (3564506)Termination reason: Instruction limit
% 0.35/20.84 % (3564506)Termination phase: Finite model building constraint generation
% 0.35/20.84 % (3564506)Time elapsed: 0.149 s
% 0.35/20.84 % (3564506)Peak memory usage: 38 MB
% 0.35/20.84 % (3564506)Instructions burned: 719 (million)
% 0.35/20.84 % (3564516)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3610772515:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 0.35/20.84 % (3564512)Instruction limit reached!
% 0.35/20.84 % (3564512)------------------------------
% 0.35/20.84 % (3564512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/20.84 % (3564512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/20.84 % (3564512)CaDiCaL version: 2.1.3
% 0.35/20.84 % (3564512)Termination reason: Instruction limit
% 0.35/20.84 % (3564512)Termination phase: Saturation
% 0.35/20.84 % (3564512)Time elapsed: 0.103 s
% 0.35/20.84 % (3564512)Peak memory usage: 13 MB
% 0.35/20.84 % (3564512)Instructions burned: 180 (million)
% 0.35/20.84 % TRYING [1]
% 0.35/20.84 % TRYING [2]
% 0.35/20.84 % (3564518)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=628666315:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 0.35/20.84 % TRYING [3]
% 0.35/20.84 % (3564518) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3564487-3564518"...
% 0.35/20.84 % (3564518)...printing done.
% 0.35/20.84 % (3564518)Refutation found. Thanks to Tanya!
% 0.35/20.84 % SZS status Theorem for theBenchmark
% 0.35/20.84 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/20.84 % (3564518)------------------------------
% 0.35/20.84 % (3564518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/20.84 % (3564518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/20.84 % (3564518)CaDiCaL version: 2.1.3
% 0.35/20.84 % (3564518)Termination reason: Refutation
% 0.35/20.84 % (3564518)Time elapsed: 0.060 s
% 0.35/20.84 % (3564518)Peak memory usage: 13 MB
% 0.35/20.84 % (3564518)Instructions burned: 93 (million)
% 0.35/20.84 % (3564487)Success in time 0.343 s
% 0.35/20.84 % Vampire exiting
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