%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET865-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:42:12 PM UTC 2026
% Result : Unsatisfiable 3.28s 1.22s
% Output : Refutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 35 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 22 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f378,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f1434,axiom,
! [X0,X1] : c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OHausdorff_0) ).
fof(f1435,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X3,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,X1,tc_set(X2))
| ~ c_lessequals(c_Union(X3,X2),X0,tc_set(X2))
| c_Union(X3,X2) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
fof(f1436,axiom,
! [X0,X1] : c_lessequals(c_Zorn_Omaxchain(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(tc_set(X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).
fof(f1437,negated_conjecture,
! [X0] :
( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1438,negated_conjecture,
! [X0] :
( c_in(v_x(X0),v_S,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1439,negated_conjecture,
! [X0] :
( c_lessequals(X0,v_x(X0),tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1440,negated_conjecture,
! [X0] :
( X0 != v_x(X0)
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1441,plain,
! [X0] :
( v_x(X0) != X0
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(reorient_equations,[],[f1440]) ).
fof(f1445,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
| c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
inference(resolution,[],[f378,f1436]) ).
fof(f1501,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Union(c_Zorn_OHausdorff__1(X1,X2),X2),X0,tc_set(X2))
| ~ c_in(X0,X1,tc_set(X2))
| c_Union(c_Zorn_OHausdorff__1(X1,X2),X2) = X0 ),
inference(resolution,[],[f1435,f1434]) ).
fof(f1520,plain,
! [X0,X1] : c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))),
inference(resolution,[],[f1445,f1434]) ).
fof(f1526,plain,
c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(resolution,[],[f1520,f1437]) ).
fof(f1535,plain,
! [X0] :
( ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a))
| c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a) = v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a))
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f1501,f1439]) ).
fof(f1537,plain,
! [X0] :
( ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a))
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a)) ),
inference(forward_subsumption_resolution,[],[f1535,f1441]) ).
fof(f1547,plain,
( ~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a))
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f1537,f1438]) ).
fof(f1550,plain,
~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(duplicate_literal_removal,[],[f1547]) ).
fof(f1551,plain,
$false,
inference(forward_subsumption_resolution,[],[f1550,f1526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET865-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n011.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 03:05:01 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.28/1.22 % (2978682)Input is clausal, will run a generic CNF schedule.
% 3.28/1.22 % (2978693)dis-21_1_sil=8000:lcm=predicate:random_seed=2699713061: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)
% 3.28/1.22 % (2978693)Instruction limit reached!
% 3.28/1.22 % (2978693)------------------------------
% 3.28/1.22 % (2978693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.22 % (2978693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.22 % (2978693)CaDiCaL version: 2.1.3
% 3.28/1.22 % (2978693)Termination reason: Instruction limit
% 3.28/1.22 % (2978693)Termination phase: Saturation
% 3.28/1.22 % (2978693)Time elapsed: 0.038 s
% 3.28/1.22 % (2978693)Peak memory usage: 90 MB
% 3.28/1.22 % (2978693)Instructions burned: 119 (million)
% 3.28/1.22 % (2978687)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=3661300671:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.28/1.22 % (2978691)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2698823570:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.28/1.22 % (2978690)lrs+10_1_sil=8000:sp=occurrence:random_seed=2397703175:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.28/1.22 % (2978688)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1810285722:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.28/1.22 % (2978692)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=643596057:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.28/1.22 % (2978689)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=643755444:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.28/1.22 % (2978690)First to succeed.
% 3.28/1.22 % (2978690)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2978682"
% 3.28/1.22 % (2978691)Instruction limit reached!
% 3.28/1.22 % (2978691)------------------------------
% 3.28/1.22 % (2978691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.22 % (2978691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.22 % (2978691)CaDiCaL version: 2.1.3
% 3.28/1.22 % (2978691)Termination reason: Instruction limit
% 3.28/1.22 % (2978691)Termination phase: Saturation
% 3.28/1.22 % (2978691)Time elapsed: 0.066 s
% 3.28/1.22 % (2978691)Peak memory usage: 88 MB
% 3.28/1.22 % (2978691)Instructions burned: 115 (million)
% 3.28/1.22 % (2978701)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=2783092878:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.28/1.22 % (2978701)Refutation not found, incomplete strategy
% 3.28/1.22 % (2978701)------------------------------
% 3.28/1.22 % (2978701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.22 % (2978701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.22 % (2978701)CaDiCaL version: 2.1.3
% 3.28/1.22 % (2978701)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.22 % (2978701)Time elapsed: 0.002 s
% 3.28/1.22 % (2978701)Peak memory usage: 89 MB
% 3.28/1.22 % (2978701)Instructions burned: 4 (million)
% 3.28/1.22 % (2978692)Instruction limit reached!
% 3.28/1.22 % (2978692)------------------------------
% 3.28/1.22 % (2978692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.22 % (2978692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.22 % (2978692)CaDiCaL version: 2.1.3
% 3.28/1.22 % (2978692)Termination reason: Instruction limit
% 3.28/1.22 % (2978692)Termination phase: Saturation
% 3.28/1.22 % (2978692)Time elapsed: 0.124 s
% 3.28/1.22 % (2978692)Peak memory usage: 90 MB
% 3.28/1.22 % (2978692)Instructions burned: 180 (million)
% 3.28/1.22 % (2978702)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1917342969:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.28/1.22 % (2978702)Refutation not found, incomplete strategy
% 3.28/1.22 % (2978702)------------------------------
% 3.28/1.22 % (2978702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.22 % (2978702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.22 % (2978702)CaDiCaL version: 2.1.3
% 3.28/1.22 % (2978702)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.22 % (2978702)Time elapsed: 0.010 s
% 3.28/1.22 % (2978702)Peak memory usage: 89 MB
% 3.28/1.22 % (2978702)Instructions burned: 15 (million)
% 3.28/1.22 % (2978701)------------------------------
% 3.28/1.22 % (2978701)------------------------------
% 3.28/1.22 % (2978704)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4145308494:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.28/1.22 % (2978690)Refutation found. Thanks to Tanya!
% 3.28/1.22 % SZS status Unsatisfiable for theBenchmark
% 3.28/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 3.28/1.22 % (2978690)------------------------------
% 3.28/1.22 % (2978690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.22 % (2978690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.22 % (2978690)CaDiCaL version: 2.1.3
% 3.28/1.22 % (2978690)Termination reason: Refutation
% 3.28/1.22 % (2978690)Time elapsed: 0.007 s
% 3.28/1.22 % (2978690)Peak memory usage: 89 MB
% 3.28/1.22 % (2978690)Instructions burned: 9 (million)
% 3.28/1.22 % (2978690)------------------------------
% 3.28/1.22 % (2978690)------------------------------
% 3.28/1.22 % (2978682)Success in time 0.412 s
% 3.28/1.22 % Vampire exiting
%------------------------------------------------------------------------------