%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV826-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 01:19:36 PM UTC 2026
% Result : Unsatisfiable 3.75s 1.29s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-6 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f511,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X2,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| hBOOL(hAPP(hAPP(X4,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X0,X1,X3,X2,X6,X4)))
| ~ hBOOL(hAPP(hAPP(X6,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X0,X1,X3,X2)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conseq_1) ).
fof(f516,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X0,X1,X3,X2)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conseq_0) ).
fof(f518,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP(hAPP(X3,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X0,X1,X3,X2,X4,X5)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conseq_2) ).
fof(f547,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f548,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f549,negated_conjecture,
! [X0,X1] :
( hBOOL(hAPP(hAPP(v_P_H,X0),X1))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f862,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(v_Q,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,X1,X2,v_c,v_P_H,v_Q)))
| ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,X1,X2,v_c)))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(resolution,[],[f511,f547]) ).
fof(f891,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P_H,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,X0,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,X0,v_Q,v_c)))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(resolution,[],[f862,f518]) ).
fof(f892,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P_H,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,X0,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,X0,v_Q,v_c)))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(duplicate_literal_removal,[],[f891]) ).
fof(f893,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P_H,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,X0,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,X0,v_Q,v_c)))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(forward_subsumption_resolution,[],[f892,f547]) ).
fof(f1110,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,X0,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,X0,v_Q,v_c)))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(resolution,[],[f893,f549]) ).
fof(f1130,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(resolution,[],[f1110,f516]) ).
fof(f1131,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(duplicate_literal_removal,[],[f1130]) ).
fof(f1132,plain,
$false,
inference(forward_subsumption_resolution,[],[f1131,f548]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV826-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 % Computer : n005.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Mon Sep 28 12:39:17 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running first-order theorem proving
% 0.25/0.29 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
% 3.75/1.29 % (760411)Input is clausal, will run a generic CNF schedule.
% 3.75/1.29 % (760489)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2959100648:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.75/1.29 % (760492)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1756807538:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.75/1.29 % (760487)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2662746642:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.75/1.29 % (760494)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2334766121:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.75/1.29 % (760484)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=3463010370:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.75/1.29 % (760491)lrs+10_1_sil=8000:sp=occurrence:random_seed=3250864905:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.75/1.29 % (760496)dis-21_1_sil=8000:lcm=predicate:random_seed=3267394514: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)
% 3.75/1.29 % (760494)First to succeed.
% 3.75/1.29 % (760494)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-760411"
% 3.75/1.29 % (760491)Instruction limit reached!
% 3.75/1.29 % (760491)------------------------------
% 3.75/1.29 % (760491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.29 % (760491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.29 % (760491)CaDiCaL version: 2.1.3
% 3.75/1.29 % (760491)Termination reason: Instruction limit
% 3.75/1.29 % (760491)Termination phase: Saturation
% 3.75/1.29 % (760491)Time elapsed: 0.060 s
% 3.75/1.29 % (760491)Peak memory usage: 89 MB
% 3.75/1.29 % (760491)Instructions burned: 108 (million)
% 3.75/1.29 % (760492)Instruction limit reached!
% 3.75/1.29 % (760492)------------------------------
% 3.75/1.29 % (760492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.29 % (760492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.29 % (760492)CaDiCaL version: 2.1.3
% 3.75/1.29 % (760492)Termination reason: Instruction limit
% 3.75/1.29 % (760492)Termination phase: Saturation
% 3.75/1.29 % (760492)Time elapsed: 0.069 s
% 3.75/1.29 % (760492)Peak memory usage: 88 MB
% 3.75/1.29 % (760492)Instructions burned: 114 (million)
% 3.75/1.29 % (760496)Instruction limit reached!
% 3.75/1.29 % (760496)------------------------------
% 3.75/1.29 % (760496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.29 % (760496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.29 % (760496)CaDiCaL version: 2.1.3
% 3.75/1.29 % (760496)Termination reason: Instruction limit
% 3.75/1.29 % (760496)Termination phase: Saturation
% 3.75/1.29 % (760496)Time elapsed: 0.061 s
% 3.75/1.29 % (760496)Peak memory usage: 89 MB
% 3.75/1.29 % (760496)Instructions burned: 118 (million)
% 3.75/1.29 % (760537)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=213107931: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)
% 3.75/1.29 % (760536)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=4040858147:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.75/1.29 % (760538)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1407074197:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.75/1.29 % (760536)Instruction limit reached!
% 3.75/1.29 % (760536)------------------------------
% 3.75/1.29 % (760536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.29 % (760536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.29 % (760536)CaDiCaL version: 2.1.3
% 3.75/1.29 % (760536)Termination reason: Instruction limit
% 3.75/1.29 % (760536)Termination phase: Saturation
% 3.75/1.29 % (760536)Time elapsed: 0.089 s
% 3.75/1.29 % (760536)Peak memory usage: 89 MB
% 3.75/1.29 % (760536)Instructions burned: 144 (million)
% 3.75/1.29 % (760494)Refutation found. Thanks to Tanya!
% 3.75/1.29 % SZS status Unsatisfiable for theBenchmark
% 3.75/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.75/1.29 % (760494)------------------------------
% 3.75/1.29 % (760494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.29 % (760494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.29 % (760494)CaDiCaL version: 2.1.3
% 3.75/1.29 % (760494)Termination reason: Refutation
% 3.75/1.29 % (760494)Time elapsed: 0.051 s
% 3.75/1.29 % (760494)Peak memory usage: 89 MB
% 3.75/1.29 % (760494)Instructions burned: 81 (million)
% 3.75/1.29 % (760494)------------------------------
% 3.75/1.29 % (760494)------------------------------
% 3.75/1.29 % (760411)Success in time 0.465 s
% 3.75/1.29 % Vampire exiting
%------------------------------------------------------------------------------