%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV882-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 01:19:43 PM UTC 2026
% Result : Unsatisfiable 4.31s 1.31s
% Output : Refutation 4.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f588,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_in(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f636,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f684,axiom,
! [X0,X1] :
( hBOOL(hAPP(hAPP(v_P,X0),X1))
| ~ c_lessequals(X1,X0,tc_fun(t_a,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I1_J_0) ).
fof(f704,negated_conjecture,
c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f705,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f1275,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(resolution,[],[f684,f705]) ).
fof(f3418,plain,
( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))
| ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a) ),
inference(resolution,[],[f588,f1275]) ).
fof(f3428,plain,
~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
inference(forward_subsumption_resolution,[],[f3418,f636]) ).
fof(f3429,plain,
$false,
inference(forward_subsumption_resolution,[],[f3428,f704]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV882-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n006.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 12:47:25 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 4.31/1.31 % (3936244)Input is clausal, will run a generic CNF schedule.
% 4.31/1.31 % (3936253)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4283800181:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.31/1.31 % (3936252)lrs+10_1_sil=8000:sp=occurrence:random_seed=3722436574:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.31/1.31 % (3936254)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3826050258:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.31/1.31 % (3936255)dis-21_1_sil=8000:lcm=predicate:random_seed=4209952103: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)
% 4.31/1.31 % (3936251)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1866334593:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.31/1.31 % (3936250)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3069378214:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.31/1.31 % (3936249)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=821685237:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.31/1.31 % (3936253)Instruction limit reached!
% 4.31/1.31 % (3936253)------------------------------
% 4.31/1.31 % (3936253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.31/1.31 % (3936253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.31/1.31 % (3936253)CaDiCaL version: 2.1.3
% 4.31/1.31 % (3936253)Termination reason: Instruction limit
% 4.31/1.31 % (3936253)Termination phase: Saturation
% 4.31/1.31 % (3936253)Time elapsed: 0.043 s
% 4.31/1.31 % (3936253)Peak memory usage: 89 MB
% 4.31/1.31 % (3936253)Instructions burned: 114 (million)
% 4.31/1.31 % (3936255)Instruction limit reached!
% 4.31/1.31 % (3936255)------------------------------
% 4.31/1.31 % (3936255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.31/1.31 % (3936255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.31/1.31 % (3936255)CaDiCaL version: 2.1.3
% 4.31/1.31 % (3936255)Termination reason: Instruction limit
% 4.31/1.31 % (3936255)Termination phase: Saturation
% 4.31/1.31 % (3936255)Time elapsed: 0.067 s
% 4.31/1.31 % (3936255)Peak memory usage: 89 MB
% 4.31/1.31 % (3936255)Instructions burned: 117 (million)
% 4.31/1.31 % (3936252)Instruction limit reached!
% 4.31/1.31 % (3936252)------------------------------
% 4.31/1.31 % (3936252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.31/1.31 % (3936252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.31/1.31 % (3936252)CaDiCaL version: 2.1.3
% 4.31/1.31 % (3936252)Termination reason: Instruction limit
% 4.31/1.31 % (3936252)Termination phase: Saturation
% 4.31/1.31 % (3936252)Time elapsed: 0.074 s
% 4.31/1.31 % (3936252)Peak memory usage: 89 MB
% 4.31/1.31 % (3936252)Instructions burned: 108 (million)
% 4.31/1.31 % (3936254)First to succeed.
% 4.31/1.31 % (3936254)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3936244"
% 4.31/1.31 % (3936263)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=2849407163:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.31/1.31 % (3936263)Instruction limit reached!
% 4.31/1.31 % (3936263)------------------------------
% 4.31/1.31 % (3936263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.31/1.31 % (3936263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.31/1.31 % (3936263)CaDiCaL version: 2.1.3
% 4.31/1.31 % (3936263)Termination reason: Instruction limit
% 4.31/1.31 % (3936263)Termination phase: Saturation
% 4.31/1.31 % (3936263)Time elapsed: 0.047 s
% 4.31/1.31 % (3936263)Peak memory usage: 90 MB
% 4.31/1.31 % (3936263)Instructions burned: 144 (million)
% 4.31/1.31 % (3936264)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1774495086: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)
% 4.31/1.31 % (3936265)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3810166438:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.31/1.31 % (3936264)Also succeeded, but the first one will report.
% 4.31/1.31 % (3936265)Also succeeded, but the first one will report.
% 4.31/1.31 % (3936267)lrs+10_64_to=lpo:sil=8000:random_seed=1596113274:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.31/1.31 % (3936254)Refutation found. Thanks to Tanya!
% 4.31/1.31 % SZS status Unsatisfiable for theBenchmark
% 4.31/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 4.31/1.31 % (3936254)------------------------------
% 4.31/1.31 % (3936254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.31/1.31 % (3936254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.31/1.31 % (3936254)CaDiCaL version: 2.1.3
% 4.31/1.31 % (3936254)Termination reason: Refutation
% 4.31/1.31 % (3936254)Time elapsed: 0.091 s
% 4.31/1.31 % (3936254)Peak memory usage: 90 MB
% 4.31/1.31 % (3936254)Instructions burned: 134 (million)
% 4.31/1.31 % (3936254)------------------------------
% 4.31/1.31 % (3936254)------------------------------
% 4.31/1.31 % (3936244)Success in time 0.546 s
% 4.31/1.31 % Vampire exiting
%------------------------------------------------------------------------------