%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET184-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:40:26 PM UTC 2026
% Result : Unsatisfiable 3.88s 1.52s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f22,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f122,negated_conjecture,
intersection(x,y) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property2_1) ).
fof(f123,plain,
x = intersection(x,y),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property2_2) ).
fof(f138,plain,
! [X2,X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),intersection(X2,X1)) ),
inference(resolution,[],[f22,f3]) ).
fof(f523,plain,
! [X0] : ~ member(not_subclass_element(x,y),intersection(X0,y)),
inference(resolution,[],[f138,f124]) ).
fof(f555,plain,
~ member(not_subclass_element(x,y),x),
inference(superposition,[],[f523,f123]) ).
fof(f560,plain,
subclass(x,y),
inference(resolution,[],[f555,f2]) ).
fof(f564,plain,
$false,
inference(forward_subsumption_resolution,[],[f560,f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET184-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 01:08:17 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.88/1.52 % (4126207)Input is clausal, will run a generic CNF schedule.
% 3.88/1.52 % (4126218)dis-21_1_sil=8000:lcm=predicate:random_seed=693204625: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)
% 3.88/1.52 % (4126214)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1401235596:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.88/1.52 % (4126215)lrs+10_1_sil=8000:sp=occurrence:random_seed=1328710458:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.88/1.52 % (4126216)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4197514817:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.88/1.52 % (4126213)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2820210760:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.88/1.52 % (4126212)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=3371815321:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.88/1.52 % (4126215)Refutation not found, incomplete strategy
% 3.88/1.52 % (4126215)------------------------------
% 3.88/1.52 % (4126215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.52 % (4126215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.52 % (4126215)CaDiCaL version: 2.1.3
% 3.88/1.52 % (4126215)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.52 % (4126215)Time elapsed: 0.002 s
% 3.88/1.52 % (4126215)Peak memory usage: 87 MB
% 3.88/1.52 % (4126215)Instructions burned: 1 (million)
% 3.88/1.52 % (4126216)Refutation not found, incomplete strategy
% 3.88/1.52 % (4126216)------------------------------
% 3.88/1.52 % (4126216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.52 % (4126216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.52 % (4126216)CaDiCaL version: 2.1.3
% 3.88/1.52 % (4126216)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.52 % (4126216)Time elapsed: 0.002 s
% 3.88/1.52 % (4126216)Peak memory usage: 88 MB
% 3.88/1.52 % (4126216)Instructions burned: 1 (million)
% 3.88/1.52 % (4126218)Instruction limit reached!
% 3.88/1.52 % (4126218)------------------------------
% 3.88/1.52 % (4126218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.52 % (4126218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.52 % (4126218)CaDiCaL version: 2.1.3
% 3.88/1.52 % (4126218)Termination reason: Instruction limit
% 3.88/1.52 % (4126218)Termination phase: Saturation
% 3.88/1.52 % (4126218)Time elapsed: 0.037 s
% 3.88/1.52 % (4126218)Peak memory usage: 89 MB
% 3.88/1.52 % (4126218)Instructions burned: 120 (million)
% 3.88/1.52 % (4126217)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3379631322:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.88/1.52 % (4126217)First to succeed.
% 3.88/1.52 % (4126217)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4126207"
% 3.88/1.52 % (4126226)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=709688588:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.88/1.52 % (4126226)Instruction limit reached!
% 3.88/1.52 % (4126226)------------------------------
% 3.88/1.52 % (4126226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.52 % (4126226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.52 % (4126226)CaDiCaL version: 2.1.3
% 3.88/1.52 % (4126226)Termination reason: Instruction limit
% 3.88/1.52 % (4126226)Termination phase: Saturation
% 3.88/1.52 % (4126226)Time elapsed: 0.052 s
% 3.88/1.52 % (4126226)Peak memory usage: 90 MB
% 3.88/1.52 % (4126226)Instructions burned: 145 (million)
% 3.88/1.52 % (4126215)------------------------------
% 3.88/1.52 % (4126215)------------------------------
% 3.88/1.52 % (4126216)------------------------------
% 3.88/1.52 % (4126216)------------------------------
% 3.88/1.52 % (4126217)Refutation found. Thanks to Tanya!
% 3.88/1.52 % SZS status Unsatisfiable for theBenchmark
% 3.88/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.52 % (4126217)------------------------------
% 3.88/1.52 % (4126217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.52 % (4126217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.52 % (4126217)CaDiCaL version: 2.1.3
% 3.88/1.52 % (4126217)Termination reason: Refutation
% 3.88/1.52 % (4126217)Time elapsed: 0.018 s
% 3.88/1.52 % (4126217)Peak memory usage: 89 MB
% 3.88/1.52 % (4126217)Instructions burned: 22 (million)
% 3.88/1.52 % (4126217)------------------------------
% 3.88/1.52 % (4126217)------------------------------
% 3.88/1.52 % (4126207)Success in time 0.463 s
% 3.88/1.52 % Vampire exiting
%------------------------------------------------------------------------------