%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW317+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 : n015.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 01:30:06 PM UTC 2026
% Result : Theorem 4.27s 1.72s
% Output : Refutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-4 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2] : c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X0,c_Com_Ocom_OSKIP,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_hoare__derivs_OSkip) ).
fof(f5242,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f5243,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(negated_conjecture,[status(cth)],[f5242]) ).
fof(f5244,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(flattening,[],[f5243]) ).
fof(f5355,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5244]) ).
fof(f5389,plain,
! [X2,X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X0,c_Com_Ocom_OSKIP,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f3]) ).
fof(f5558,plain,
$false,
inference(forward_subsumption_resolution,[],[f5355,f5389]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW317+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 : n015.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 13:38:47 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 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
% 4.27/1.72 % (2630725)Detected formulas, will run a generic FOF schedule.
% 4.27/1.72 % (2630735)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1909438429:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 4.27/1.72 % (2630735)Instruction limit reached!
% 4.27/1.72 % (2630735)------------------------------
% 4.27/1.72 % (2630735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.72 % (2630735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.72 % (2630735)CaDiCaL version: 2.1.3
% 4.27/1.72 % (2630735)Termination reason: Instruction limit
% 4.27/1.72 % (2630735)Termination phase: SInE selection
% 4.27/1.72 % (2630735)Time elapsed: 0.033 s
% 4.27/1.72 % (2630735)Peak memory usage: 90 MB
% 4.27/1.72 % (2630735)Instructions burned: 140 (million)
% 4.27/1.72 % (2630732)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=1226194468:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 4.27/1.72 % (2630730)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=954587978:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 4.27/1.72 % (2630734)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=452858892:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 4.27/1.72 % (2630733)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=531450679:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 4.27/1.72 % (2630731)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=613767630:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 4.27/1.72 % (2630736)dis-21_1_sil=8000:lcm=predicate:random_seed=1510377329: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)
% 4.27/1.72 % (2630733)First to succeed.
% 4.27/1.72 % (2630733)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2630725"
% 4.27/1.72 % (2630734)Instruction limit reached!
% 4.27/1.72 % (2630734)------------------------------
% 4.27/1.72 % (2630734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.72 % (2630734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.72 % (2630734)CaDiCaL version: 2.1.3
% 4.27/1.72 % (2630734)Termination reason: Instruction limit
% 4.27/1.72 % (2630734)Termination phase: Saturation
% 4.27/1.72 % (2630734)Time elapsed: 0.067 s
% 4.27/1.72 % (2630734)Peak memory usage: 94 MB
% 4.27/1.72 % (2630734)Instructions burned: 122 (million)
% 4.27/1.72 % (2630738)lrs+10_1_sil=8000:sp=occurrence:random_seed=4185885209:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 4.27/1.72 % (2630736)Instruction limit reached!
% 4.27/1.72 % (2630736)------------------------------
% 4.27/1.72 % (2630736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.72 % (2630736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.72 % (2630736)CaDiCaL version: 2.1.3
% 4.27/1.72 % (2630736)Termination reason: Instruction limit
% 4.27/1.72 % (2630736)Termination phase: Preprocessing 3
% 4.27/1.72 % (2630736)Time elapsed: 0.086 s
% 4.27/1.72 % (2630736)Peak memory usage: 93 MB
% 4.27/1.72 % (2630736)Instructions burned: 129 (million)
% 4.27/1.72 % (2630738)Also succeeded, but the first one will report.
% 4.27/1.72 % (2630745)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3242284294:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 4.27/1.72 % (2630747)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1358255111:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 4.27/1.72 % (2630747)Also succeeded, but the first one will report.
% 4.27/1.72 % (2630745)Instruction limit reached!
% 4.27/1.72 % (2630745)------------------------------
% 4.27/1.72 % (2630745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.72 % (2630745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.72 % (2630745)CaDiCaL version: 2.1.3
% 4.27/1.72 % (2630745)Termination reason: Instruction limit
% 4.27/1.72 % (2630745)Termination phase: Property scanning
% 4.27/1.72 % (2630745)Time elapsed: 0.074 s
% 4.27/1.72 % (2630745)Peak memory usage: 92 MB
% 4.27/1.72 % (2630745)Instructions burned: 158 (million)
% 4.27/1.72 % (2630733)Refutation found. Thanks to Tanya!
% 4.27/1.72 % SZS status Theorem for theBenchmark
% 4.27/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 4.27/1.72 % (2630733)------------------------------
% 4.27/1.72 % (2630733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.72 % (2630733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.72 % (2630733)CaDiCaL version: 2.1.3
% 4.27/1.72 % (2630733)Termination reason: Refutation
% 4.27/1.72 % (2630733)Time elapsed: 0.038 s
% 4.27/1.72 % (2630733)Peak memory usage: 94 MB
% 4.27/1.72 % (2630733)Instructions burned: 54 (million)
% 4.27/1.72 % (2630733)------------------------------
% 4.27/1.72 % (2630733)------------------------------
% 4.27/1.72 % (2630725)Success in time 0.85 s
% 4.27/1.72 % Vampire exiting
%------------------------------------------------------------------------------