%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW312+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 01:30:05 PM UTC 2026
% Result : Theorem 3.46s 1.62s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
=> c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_hoare__derivs_Oinsert) ).
fof(f5243,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
fof(f5244,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(f5245,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
fof(f5246,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
inference(negated_conjecture,[status(cth)],[f5245]) ).
fof(f5247,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
inference(flattening,[],[f5246]) ).
fof(f5250,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))) ),
inference(ennf_transformation,[],[f7]) ).
fof(f5251,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))) ),
inference(flattening,[],[f5250]) ).
fof(f5347,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5243]) ).
fof(f5348,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(cnf_transformation,[],[f5244]) ).
fof(f5349,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
inference(cnf_transformation,[],[f5247]) ).
fof(f5350,plain,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0)) ),
inference(cnf_transformation,[],[f5251]) ).
fof(f5552,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),X0))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X0) ),
inference(resolution,[],[f5347,f5350]) ).
fof(f5576,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(resolution,[],[f5552,f5349]) ).
fof(f5587,plain,
$false,
inference(forward_subsumption_resolution,[],[f5576,f5348]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW312+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n001.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 13:39:48 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.46/1.61 % (354844)Detected formulas, will run a generic FOF schedule.
% 3.46/1.61 % (354852)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=527054335:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 3.46/1.61 % (354852)First to succeed.
% 3.46/1.61 % (354852)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-354844"
% 3.46/1.61 % (354851)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=3299837853:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 3.46/1.61 % (354853)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1575858847:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 3.46/1.61 % (354854)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=60456480:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 3.46/1.61 % (354855)dis-21_1_sil=8000:lcm=predicate:random_seed=1732785867: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)
% 3.46/1.61 % (354850)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=1557152682:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 3.46/1.61 % (354849)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=2815601704:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 3.46/1.61 % (354854)Instruction limit reached!
% 3.46/1.61 % (354854)------------------------------
% 3.46/1.61 % (354854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.61 % (354854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.61 % (354854)CaDiCaL version: 2.1.3
% 3.46/1.61 % (354854)Termination reason: Instruction limit
% 3.46/1.61 % (354854)Termination phase: SInE selection
% 3.46/1.61 % (354854)Time elapsed: 0.057 s
% 3.46/1.61 % (354854)Peak memory usage: 90 MB
% 3.46/1.61 % (354854)Instructions burned: 139 (million)
% 3.46/1.61 % (354853)Instruction limit reached!
% 3.46/1.61 % (354853)------------------------------
% 3.46/1.62 % (354853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.62 % (354853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.62 % (354853)CaDiCaL version: 2.1.3
% 3.46/1.62 % (354853)Termination reason: Instruction limit
% 3.46/1.62 % (354853)Termination phase: Property scanning
% 3.46/1.62 % (354853)Time elapsed: 0.066 s
% 3.46/1.62 % (354853)Peak memory usage: 93 MB
% 3.46/1.62 % (354853)Instructions burned: 122 (million)
% 3.46/1.62 % (354855)Instruction limit reached!
% 3.46/1.62 % (354855)------------------------------
% 3.46/1.62 % (354855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.62 % (354855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.62 % (354855)CaDiCaL version: 2.1.3
% 3.46/1.62 % (354855)Termination reason: Instruction limit
% 3.46/1.62 % (354855)Termination phase: Preprocessing 3
% 3.46/1.62 % (354855)Time elapsed: 0.083 s
% 3.46/1.62 % (354855)Peak memory usage: 93 MB
% 3.46/1.62 % (354855)Instructions burned: 129 (million)
% 3.46/1.62 % (354852)Refutation found. Thanks to Tanya!
% 3.46/1.62 % SZS status Theorem for theBenchmark
% 3.46/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 3.46/1.62 % (354852)------------------------------
% 3.46/1.62 % (354852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.62 % (354852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.62 % (354852)CaDiCaL version: 2.1.3
% 3.46/1.62 % (354852)Termination reason: Refutation
% 3.46/1.62 % (354852)Time elapsed: 0.024 s
% 3.46/1.62 % (354852)Peak memory usage: 95 MB
% 3.46/1.62 % (354852)Instructions burned: 55 (million)
% 3.46/1.62 % (354852)------------------------------
% 3.46/1.62 % (354852)------------------------------
% 3.46/1.62 % (354844)Success in time 0.738 s
% 3.46/1.62 % Vampire exiting
%------------------------------------------------------------------------------