%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW365+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:30:12 PM UTC 2026
% Result : Theorem 0.21s 1.80s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 29 ( 14 ~; 9 |; 5 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_empty__subsetI) ).
fof(f69,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
<=> ( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_insert__subset) ).
fof(f5230,axiom,
hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
fof(f5231,conjecture,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
fof(f5232,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G)),
inference(negated_conjecture,[status(cth)],[f5231]) ).
fof(f5233,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G)),
inference(flattening,[],[f5232]) ).
fof(f5509,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0)) )
& ( ( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0)) )
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0)) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f5510,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0)) )
& ( ( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0)) )
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0)) ) ),
inference(flattening,[],[f5509]) ).
fof(f5625,plain,
hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)),
inference(cnf_transformation,[],[f5230]) ).
fof(f5626,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G)),
inference(cnf_transformation,[],[f5233]) ).
fof(f5705,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0)) ),
inference(cnf_transformation,[],[f5510]) ).
fof(f5759,plain,
! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f6231,plain,
( ~ hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))),v_G)) ),
inference(resolution,[],[f5626,f5705]) ).
fof(f6239,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))),v_G)),
inference(forward_subsumption_resolution,[],[f6231,f5625]) ).
fof(f6240,plain,
$false,
inference(forward_subsumption_resolution,[],[f6239,f5759]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW365+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 13:41:55 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 0.21/1.80 % (3972522)Detected formulas, will run a generic FOF schedule.
% 0.21/1.80 % (3972531)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3665447407:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 0.21/1.80 % (3972531)Instruction limit reached!
% 0.21/1.80 % (3972531)------------------------------
% 0.21/1.80 % (3972531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.80 % (3972531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.80 % (3972531)CaDiCaL version: 2.1.3
% 0.21/1.80 % (3972531)Termination reason: Instruction limit
% 0.21/1.80 % (3972531)Termination phase: Property scanning
% 0.21/1.80 % (3972531)Time elapsed: 0.039 s
% 0.21/1.80 % (3972531)Peak memory usage: 93 MB
% 0.21/1.80 % (3972531)Instructions burned: 120 (million)
% 0.21/1.80 % (3972529)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=1201780173:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 0.21/1.80 % (3972527)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=387389040:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 0.21/1.80 % (3972532)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3274176922:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 0.21/1.80 % (3972528)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=3668979827:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 0.21/1.80 % (3972533)dis-21_1_sil=8000:lcm=predicate:random_seed=237310160:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 0.21/1.80 % (3972530)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1425403237:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 0.21/1.80 % (3972532)Instruction limit reached!
% 0.21/1.80 % (3972532)------------------------------
% 0.21/1.80 % (3972532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.80 % (3972532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.80 % (3972532)CaDiCaL version: 2.1.3
% 0.21/1.80 % (3972532)Termination reason: Instruction limit
% 0.21/1.80 % (3972532)Termination phase: SInE selection
% 0.21/1.80 % (3972532)Time elapsed: 0.057 s
% 0.21/1.80 % (3972532)Peak memory usage: 90 MB
% 0.21/1.80 % (3972532)Instructions burned: 140 (million)
% 0.21/1.80 % (3972530)First to succeed.
% 0.21/1.80 % (3972530)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3972522"
% 0.21/1.80 % (3972533)Instruction limit reached!
% 0.21/1.80 % (3972533)------------------------------
% 0.21/1.80 % (3972533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.80 % (3972533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.80 % (3972533)CaDiCaL version: 2.1.3
% 0.21/1.80 % (3972533)Termination reason: Instruction limit
% 0.21/1.80 % (3972533)Termination phase: Preprocessing 3
% 0.21/1.80 % (3972533)Time elapsed: 0.085 s
% 0.21/1.80 % (3972533)Peak memory usage: 93 MB
% 0.21/1.80 % (3972533)Instructions burned: 129 (million)
% 0.21/1.80 % (3972541)lrs+10_1_sil=8000:sp=occurrence:random_seed=3221448544:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 0.21/1.80 % (3972541)Instruction limit reached!
% 0.21/1.80 % (3972541)------------------------------
% 0.21/1.80 % (3972541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.80 % (3972541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.80 % (3972541)CaDiCaL version: 2.1.3
% 0.21/1.80 % (3972541)Termination reason: Instruction limit
% 0.21/1.80 % (3972541)Termination phase: Saturation
% 0.21/1.80 % (3972541)Time elapsed: 0.088 s
% 0.21/1.80 % (3972541)Peak memory usage: 96 MB
% 0.21/1.80 % (3972541)Instructions burned: 286 (million)
% 0.21/1.80 % (3972542)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3048577958:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 0.21/1.80 % (3972543)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4166788058:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 0.21/1.80 % (3972542)Instruction limit reached!
% 0.21/1.80 % (3972542)------------------------------
% 0.21/1.80 % (3972542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.80 % (3972542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.80 % (3972542)CaDiCaL version: 2.1.3
% 0.21/1.80 % (3972542)Termination reason: Instruction limit
% 0.21/1.80 % (3972542)Termination phase: Property scanning
% 0.21/1.80 % (3972542)Time elapsed: 0.072 s
% 0.21/1.80 % (3972542)Peak memory usage: 91 MB
% 0.21/1.80 % (3972542)Instructions burned: 158 (million)
% 0.21/1.80 % (3972530)Refutation found. Thanks to Tanya!
% 0.21/1.80 % SZS status Theorem for theBenchmark
% 0.21/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.80 % (3972530)------------------------------
% 0.21/1.80 % (3972530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.80 % (3972530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.80 % (3972530)CaDiCaL version: 2.1.3
% 0.21/1.80 % (3972530)Termination reason: Refutation
% 0.21/1.80 % (3972530)Time elapsed: 0.064 s
% 0.21/1.80 % (3972530)Peak memory usage: 95 MB
% 0.21/1.80 % (3972530)Instructions burned: 110 (million)
% 0.21/1.80 % (3972530)------------------------------
% 0.21/1.80 % (3972530)------------------------------
% 0.21/1.80 % (3972522)Success in time 0.9 s
% 0.21/1.80 % Vampire exiting
%------------------------------------------------------------------------------