%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV825-1 : 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 : 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 3.71s 1.07s
% Output : Refutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 18 ~; 20 |; 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 : 18 ( 18 usr; 8 con; 0-6 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f565,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/sandbox/benchmark/theBenchmark.p',cls_conseq_1) ).
fof(f569,axiom,
! [X2,X3,X0,X1] :
( 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)
| 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))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conseq_0) ).
fof(f570,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ 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)
| ~ 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conseq_2) ).
fof(f598,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_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f599,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f600,negated_conjecture,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(v_P_H,v_Z(X0,X2,X1)),X2))
| hBOOL(hAPP(hAPP(v_Q,X0),X1))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f601,negated_conjecture,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,v_Z(X0,X2,X1)),X1))
| hBOOL(hAPP(hAPP(v_Q,X0),X1))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f628,plain,
! [X2,X0,X1] :
( 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)
| ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,X1,X2,v_c)))
| hBOOL(hAPP(hAPP(v_Q_H,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,X1,X2,v_c,v_P_H,v_Q_H))) ),
inference(resolution,[],[f598,f565]) ).
fof(f631,plain,
! [X0,X1] :
( 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,X0,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,X1,X0,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,X1,X0,v_c,v_P_H,v_Q_H))) ),
inference(resolution,[],[f598,f570]) ).
fof(f637,plain,
hBOOL(hAPP(hAPP(v_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c))),
inference(resolution,[],[f599,f569]) ).
fof(f638,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_Q_H,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c))) ),
inference(resolution,[],[f628,f599]) ).
fof(f667,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_P_H,v_Z(X0,X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H))),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c)))
| hBOOL(hAPP(hAPP(v_Q,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
inference(resolution,[],[f638,f601]) ).
fof(f737,plain,
~ hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H))),
inference(resolution,[],[f631,f599]) ).
fof(f1428,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_Q,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c)))
| hBOOL(hAPP(hAPP(v_Q,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c))) ),
inference(resolution,[],[f667,f600]) ).
fof(f1431,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_Q,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v_G,v_P,v_Q,v_c,v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c))) ),
inference(duplicate_literal_removal,[],[f1428]) ).
fof(f1467,plain,
~ hBOOL(hAPP(hAPP(v_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v_G,v_P,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v_G,v_P,v_Q,v_c))),
inference(resolution,[],[f1431,f737]) ).
fof(f1474,plain,
$false,
inference(forward_subsumption_resolution,[],[f1467,f637]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV825-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 12:39:16 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 3.71/1.07 % (760258)Input is clausal, will run a generic CNF schedule.
% 3.71/1.07 % (760269)dis-21_1_sil=8000:lcm=predicate:random_seed=1843302935: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)
% 3.71/1.07 % (760269)Instruction limit reached!
% 3.71/1.07 % (760269)------------------------------
% 3.71/1.07 % (760269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.07 % (760269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.07 % (760269)CaDiCaL version: 2.1.3
% 3.71/1.07 % (760269)Termination reason: Instruction limit
% 3.71/1.07 % (760269)Termination phase: Saturation
% 3.71/1.07 % (760269)Time elapsed: 0.034 s
% 3.71/1.07 % (760269)Peak memory usage: 88 MB
% 3.71/1.07 % (760269)Instructions burned: 119 (million)
% 3.71/1.07 % (760266)lrs+10_1_sil=8000:sp=occurrence:random_seed=3359027582:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.71/1.07 % (760268)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1585850237:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.71/1.07 % (760263)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=1509870534:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.71/1.07 % (760264)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3079190776:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.71/1.07 % (760265)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1864997609:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.71/1.07 % (760267)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=469473953:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.71/1.07 % (760266)Instruction limit reached!
% 3.71/1.07 % (760266)------------------------------
% 3.71/1.07 % (760266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.07 % (760266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.07 % (760266)CaDiCaL version: 2.1.3
% 3.71/1.07 % (760266)Termination reason: Instruction limit
% 3.71/1.07 % (760266)Termination phase: Saturation
% 3.71/1.07 % (760266)Time elapsed: 0.063 s
% 3.71/1.07 % (760266)Peak memory usage: 89 MB
% 3.71/1.07 % (760266)Instructions burned: 108 (million)
% 3.71/1.07 % (760267)Instruction limit reached!
% 3.71/1.07 % (760267)------------------------------
% 3.71/1.07 % (760267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.07 % (760267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.07 % (760267)CaDiCaL version: 2.1.3
% 3.71/1.07 % (760267)Termination reason: Instruction limit
% 3.71/1.07 % (760267)Termination phase: Saturation
% 3.71/1.07 % (760267)Time elapsed: 0.070 s
% 3.71/1.07 % (760267)Peak memory usage: 88 MB
% 3.71/1.07 % (760267)Instructions burned: 114 (million)
% 3.71/1.07 % (760324)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=2290242252:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.71/1.07 % (760268)Instruction limit reached!
% 3.71/1.07 % (760268)------------------------------
% 3.71/1.07 % (760268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.07 % (760268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.07 % (760268)CaDiCaL version: 2.1.3
% 3.71/1.07 % (760268)Termination reason: Instruction limit
% 3.71/1.07 % (760268)Termination phase: Saturation
% 3.71/1.07 % (760268)Time elapsed: 0.119 s
% 3.71/1.07 % (760268)Peak memory usage: 89 MB
% 3.71/1.07 % (760268)Instructions burned: 180 (million)
% 3.71/1.07 % (760324)First to succeed.
% 3.71/1.07 % (760324)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-760258"
% 3.71/1.07 % (760354)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1268925868: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)
% 3.71/1.07 % (760357)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1608944775:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.71/1.07 % (760364)lrs+10_64_to=lpo:sil=8000:random_seed=4108115146:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.71/1.07 % (760324)Refutation found. Thanks to Tanya!
% 3.71/1.07 % SZS status Unsatisfiable for theBenchmark
% 3.71/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 3.71/1.07 % (760324)------------------------------
% 3.71/1.07 % (760324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.07 % (760324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.07 % (760324)CaDiCaL version: 2.1.3
% 3.71/1.07 % (760324)Termination reason: Refutation
% 3.71/1.07 % (760324)Time elapsed: 0.034 s
% 3.71/1.07 % (760324)Peak memory usage: 89 MB
% 3.71/1.07 % (760324)Instructions burned: 103 (million)
% 3.71/1.07 % (760324)------------------------------
% 3.71/1.07 % (760324)------------------------------
% 3.71/1.07 % (760258)Success in time 0.478 s
% 3.71/1.07 % Vampire exiting
%------------------------------------------------------------------------------