%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET932+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:42:22 PM UTC 2026
% Result : Theorem 0.16s 1.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 6 unt; 0 def)
% Number of atoms : 104 ( 9 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 119 ( 47 ~; 46 |; 18 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 68 ( 62 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( X1 = powerset(X0)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f8,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> subset(powerset(X0),powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_zfmisc_1) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> subset(powerset(X0),powerset(X1)) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f12,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f14,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
? [X0,X1] :
( ~ subset(powerset(X0),powerset(X1))
& subset(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f16,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f17,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ( ( ~ subset(sK0(X0,X1),X0)
| ~ in(sK0(X0,X1),X1) )
& ( subset(sK0(X0,X1),X0)
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f17]) ).
fof(f19,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,[],[f12]) ).
fof(f20,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,[],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK1(X0,X1),X1)
& in(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f20]) ).
fof(f24,plain,
( ~ subset(powerset(sK4),powerset(sK5))
& subset(sK4,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f15]) ).
fof(f26,plain,
! [X3,X0,X1] :
( subset(X3,X0)
| ~ in(X3,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f27,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X3,X0)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f31,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f32,plain,
! [X0,X1] :
( ~ in(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f36,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f37,plain,
subset(sK4,sK5),
inference(cnf_transformation,[],[f24]) ).
fof(f38,plain,
~ subset(powerset(sK4),powerset(sK5)),
inference(cnf_transformation,[],[f24]) ).
fof(f39,plain,
! [X3,X0] :
( in(X3,powerset(X0))
| ~ subset(X3,X0) ),
inference(equality_resolution,[],[f27]) ).
fof(f40,plain,
! [X3,X0] :
( ~ in(X3,powerset(X0))
| subset(X3,X0) ),
inference(equality_resolution,[],[f26]) ).
fof(f45,plain,
in(sK1(powerset(sK4),powerset(sK5)),powerset(sK4)),
inference(resolution,[],[f31,f38]) ).
fof(f46,plain,
subset(sK1(powerset(sK4),powerset(sK5)),sK4),
inference(resolution,[],[f45,f40]) ).
fof(f48,plain,
! [X0,X1] :
( ~ subset(sK1(X0,powerset(X1)),X1)
| subset(X0,powerset(X1)) ),
inference(resolution,[],[f32,f39]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ subset(sK1(X0,powerset(X1)),X2)
| subset(X0,powerset(X1))
| ~ subset(X2,X1) ),
inference(resolution,[],[f48,f36]) ).
fof(f91,plain,
( subset(powerset(sK4),powerset(sK5))
| ~ subset(sK4,sK5) ),
inference(resolution,[],[f64,f46]) ).
fof(f97,plain,
~ subset(sK4,sK5),
inference(forward_subsumption_resolution,[],[f91,f38]) ).
fof(f98,plain,
$false,
inference(forward_subsumption_resolution,[],[f97,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET932+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 % Computer : n017.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
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Mon Sep 28 03:11:03 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/1.51 % (3173148)Detected formulas, will run a generic FOF schedule.
% 0.16/1.51 % (3173157)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3004698024:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.16/1.51 % (3173155)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3141515324:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.16/1.51 % (3173157)Instruction limit reached!
% 0.16/1.51 % (3173157)------------------------------
% 0.16/1.51 % (3173157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.51 % (3173157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.51 % (3173157)CaDiCaL version: 2.1.3
% 0.16/1.51 % (3173157)Termination reason: Instruction limit
% 0.16/1.51 % (3173157)Termination phase: Saturation
% 0.16/1.51 % (3173157)Time elapsed: 0.025 s
% 0.16/1.51 % (3173157)Peak memory usage: 87 MB
% 0.16/1.51 % (3173157)Instructions burned: 122 (million)
% 0.16/1.51 % (3173156)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2823199658:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.16/1.51 % (3173154)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3817333281:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.16/1.51 % (3173153)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1796288443:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.16/1.51 % (3173156)Refutation not found, incomplete strategy
% 0.16/1.51 % (3173156)------------------------------
% 0.16/1.51 % (3173156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.51 % (3173156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.51 % (3173156)CaDiCaL version: 2.1.3
% 0.16/1.51 % (3173156)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.51 % (3173156)Time elapsed: 0.001 s
% 0.16/1.51 % (3173156)Peak memory usage: 88 MB
% 0.16/1.51 % (3173159)dis-21_1_sil=8000:lcm=predicate:random_seed=3488159951:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.16/1.51 % (3173158)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=189931580:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.16/1.51 % (3173158)First to succeed.
% 0.16/1.51 % (3173158)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3173148"
% 0.16/1.51 % (3173159)Instruction limit reached!
% 0.16/1.51 % (3173159)------------------------------
% 0.16/1.51 % (3173159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.51 % (3173159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.51 % (3173159)CaDiCaL version: 2.1.3
% 0.16/1.51 % (3173159)Termination reason: Instruction limit
% 0.16/1.51 % (3173159)Termination phase: Saturation
% 0.16/1.51 % (3173159)Time elapsed: 0.073 s
% 0.16/1.51 % (3173159)Peak memory usage: 89 MB
% 0.16/1.51 % (3173159)Instructions burned: 129 (million)
% 0.16/1.51 % (3173165)lrs+10_1_sil=8000:sp=occurrence:random_seed=2066479695:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.16/1.51 % (3173165)Also succeeded, but the first one will report.
% 0.16/1.51 % (3173169)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2692563974:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 0.16/1.51 % (3173169)Also succeeded, but the first one will report.
% 0.16/1.51 % (3173156)------------------------------
% 0.16/1.51 % (3173156)------------------------------
% 0.16/1.51 % (3173158)Refutation found. Thanks to Tanya!
% 0.16/1.51 % SZS status Theorem for theBenchmark
% 0.16/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.51 % (3173158)------------------------------
% 0.16/1.51 % (3173158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.51 % (3173158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.51 % (3173158)CaDiCaL version: 2.1.3
% 0.16/1.51 % (3173158)Termination reason: Refutation
% 0.16/1.51 % (3173158)Time elapsed: 0.004 s
% 0.16/1.51 % (3173158)Peak memory usage: 89 MB
% 0.16/1.51 % (3173158)Instructions burned: 4 (million)
% 0.16/1.51 % (3173158)------------------------------
% 0.16/1.51 % (3173158)------------------------------
% 0.16/1.51 % (3173148)Success in time 0.422 s
% 0.16/1.51 % Vampire exiting
%------------------------------------------------------------------------------