%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET014-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:39:31 PM UTC 2026
% Result : Unsatisfiable 3.55s 1.38s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ subset(X1,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',membership_in_subsets) ).
fof(f3,axiom,
! [X0,X1] :
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom2) ).
fof(f9,axiom,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,union(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_union_is_member_of_one_set) ).
fof(f22,axiom,
subset(as,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_of_c) ).
fof(f23,axiom,
subset(bs,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_of_c) ).
fof(f24,negated_conjecture,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_union_b_subset_of_c) ).
fof(f33,plain,
! [X2,X0,X1] :
( subset(X2,X1)
| ~ member(member_of_1_not_of_2(X2,X1),X0)
| ~ subset(X0,X1) ),
inference(resolution,[],[f2,f4]) ).
fof(f64,plain,
! [X0] :
( ~ subset(X0,cs)
| ~ member(member_of_1_not_of_2(union(as,bs),cs),X0) ),
inference(resolution,[],[f33,f24]) ).
fof(f66,plain,
~ member(member_of_1_not_of_2(union(as,bs),cs),as),
inference(resolution,[],[f64,f22]) ).
fof(f67,plain,
~ member(member_of_1_not_of_2(union(as,bs),cs),bs),
inference(resolution,[],[f64,f23]) ).
fof(f71,plain,
! [X0] :
( ~ member(member_of_1_not_of_2(union(as,bs),cs),union(as,X0))
| member(member_of_1_not_of_2(union(as,bs),cs),X0) ),
inference(resolution,[],[f66,f9]) ).
fof(f489,plain,
( member(member_of_1_not_of_2(union(as,bs),cs),bs)
| subset(union(as,bs),cs) ),
inference(resolution,[],[f71,f3]) ).
fof(f494,plain,
subset(union(as,bs),cs),
inference(forward_subsumption_resolution,[],[f489,f67]) ).
fof(f495,plain,
$false,
inference(forward_subsumption_resolution,[],[f494,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET014-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n017.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 23:59:20 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.55/1.38 % (3094610)Input is clausal, will run a generic CNF schedule.
% 3.55/1.38 % (3094617)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3256215168:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.55/1.38 % (3094619)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2874777767:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.55/1.38 % (3094616)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1030952006:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.55/1.38 % (3094615)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=4166473520:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.55/1.38 % (3094620)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2358376204:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.55/1.38 % (3094618)lrs+10_1_sil=8000:sp=occurrence:random_seed=2940011610:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.55/1.38 % (3094618)Refutation not found, incomplete strategy
% 3.55/1.38 % (3094618)------------------------------
% 3.55/1.38 % (3094618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.38 % (3094618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.38 % (3094618)CaDiCaL version: 2.1.3
% 3.55/1.38 % (3094618)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.38 % (3094618)Time elapsed: 0.001 s
% 3.55/1.38 % (3094618)Peak memory usage: 87 MB
% 3.55/1.38 % (3094620)First to succeed.
% 3.55/1.38 % (3094620)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3094610"
% 3.55/1.38 % (3094621)dis-21_1_sil=8000:lcm=predicate:random_seed=3925789238:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.55/1.38 % (3094621)Also succeeded, but the first one will report.
% 3.55/1.38 % (3094619)Instruction limit reached!
% 3.55/1.38 % (3094619)------------------------------
% 3.55/1.38 % (3094619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.38 % (3094619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.38 % (3094619)CaDiCaL version: 2.1.3
% 3.55/1.38 % (3094619)Termination reason: Instruction limit
% 3.55/1.38 % (3094619)Termination phase: Saturation
% 3.55/1.38 % (3094619)Time elapsed: 0.043 s
% 3.55/1.38 % (3094619)Peak memory usage: 86 MB
% 3.55/1.38 % (3094619)Instructions burned: 114 (million)
% 3.55/1.38 % (3094629)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3335400880:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.55/1.38 % (3094629)Refutation not found, incomplete strategy
% 3.55/1.38 % (3094629)------------------------------
% 3.55/1.38 % (3094629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.38 % (3094629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.38 % (3094629)CaDiCaL version: 2.1.3
% 3.55/1.38 % (3094629)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.38 % (3094629)Time elapsed: 0.002 s
% 3.55/1.38 % (3094629)Peak memory usage: 88 MB
% 3.55/1.38 % (3094618)------------------------------
% 3.55/1.38 % (3094618)------------------------------
% 3.55/1.38 % (3094620)Refutation found. Thanks to Tanya!
% 3.55/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.55/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.38 % (3094620)------------------------------
% 3.55/1.38 % (3094620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.38 % (3094620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.38 % (3094620)CaDiCaL version: 2.1.3
% 3.55/1.38 % (3094620)Termination reason: Refutation
% 3.55/1.38 % (3094620)Time elapsed: 0.015 s
% 3.55/1.38 % (3094620)Peak memory usage: 88 MB
% 3.55/1.38 % (3094620)Instructions burned: 20 (million)
% 3.55/1.38 % (3094620)------------------------------
% 3.55/1.38 % (3094620)------------------------------
% 3.55/1.38 % (3094610)Success in time 0.439 s
% 3.55/1.38 % Vampire exiting
%------------------------------------------------------------------------------