%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV840-1 : 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 : n008.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 01:19:37 PM UTC 2026
% Result : Unsatisfiable 2.51s 1.08s
% Output : Refutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% 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 : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f263,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
fof(f413,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_asm_0) ).
fof(f487,axiom,
! [X2,X3,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cut_0) ).
fof(f512,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f513,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f661,plain,
! [X2,X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(X0,X1,tc_Hoare__Mirabelle_Otriple(X2)),X1,X2),
inference(resolution,[],[f413,f263]) ).
fof(f764,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),X0,t_a) ),
inference(resolution,[],[f487,f513]) ).
fof(f778,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),v_G,t_a),
inference(resolution,[],[f764,f512]) ).
fof(f780,plain,
$false,
inference(forward_subsumption_resolution,[],[f778,f661]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV840-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n008.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
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 12:42:25 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 2.51/1.08 % (2227829)Input is clausal, will run a generic CNF schedule.
% 2.51/1.08 % (2227838)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1433833494:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.51/1.08 % (2227838)First to succeed.
% 2.51/1.08 % (2227838)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2227829"
% 2.51/1.08 % (2227834)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=685895492:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.51/1.08 % (2227839)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3357410859:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.51/1.08 % (2227835)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=390333805:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.51/1.08 % (2227836)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3843402764:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.51/1.08 % (2227840)dis-21_1_sil=8000:lcm=predicate:random_seed=2846007924: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)
% 2.51/1.08 % (2227837)lrs+10_1_sil=8000:sp=occurrence:random_seed=99636143:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.51/1.08 % (2227837)Also succeeded, but the first one will report.
% 2.51/1.08 % (2227840)Also succeeded, but the first one will report.
% 2.51/1.08 % (2227839)Instruction limit reached!
% 2.51/1.08 % (2227839)------------------------------
% 2.51/1.08 % (2227839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/1.08 % (2227839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/1.08 % (2227839)CaDiCaL version: 2.1.3
% 2.51/1.08 % (2227839)Termination reason: Instruction limit
% 2.51/1.08 % (2227839)Termination phase: Saturation
% 2.51/1.08 % (2227839)Time elapsed: 0.106 s
% 2.51/1.08 % (2227839)Peak memory usage: 89 MB
% 2.51/1.08 % (2227839)Instructions burned: 181 (million)
% 2.51/1.08 % (2227838)Refutation found. Thanks to Tanya!
% 2.51/1.08 % SZS status Unsatisfiable for theBenchmark
% 2.51/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 2.51/1.08 % (2227838)------------------------------
% 2.51/1.08 % (2227838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/1.08 % (2227838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/1.08 % (2227838)CaDiCaL version: 2.1.3
% 2.51/1.08 % (2227838)Termination reason: Refutation
% 2.51/1.08 % (2227838)Time elapsed: 0.008 s
% 2.51/1.08 % (2227838)Peak memory usage: 88 MB
% 2.51/1.08 % (2227838)Instructions burned: 21 (million)
% 2.51/1.08 % (2227838)------------------------------
% 2.51/1.08 % (2227838)------------------------------
% 2.51/1.08 % (2227829)Success in time 0.292 s
% 2.51/1.08 % Vampire exiting
%------------------------------------------------------------------------------