%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW390+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 : n006.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 01:30:15 PM UTC 2026
% Result : Theorem 0.21s 2.03s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 7 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 24 ( 14 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2414,axiom,
! [X0,X1,X2,X3] : c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X1),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_falseE) ).
fof(f5228,conjecture,
( ? [X0,X1] : v_P(X0,X1)
=> ? [X2,X3] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f5229,negated_conjecture,
~ ( ? [X0,X1] : v_P(X0,X1)
=> ? [X2,X3] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(negated_conjecture,[status(cth)],[f5228]) ).
fof(f5230,plain,
~ ? [X2,X3] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(pure_predicate_removal,[],[f5229]) ).
fof(f5232,plain,
! [X2,X3] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(ennf_transformation,[],[f5230]) ).
fof(f5295,plain,
! [X0,X1] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X0),v_c),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(rectify,[],[f5232]) ).
fof(f5337,plain,
! [X0,X1] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X0),v_c),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5295]) ).
fof(f5345,plain,
! [X2,X3,X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X1),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f2414]) ).
fof(f5986,plain,
$false,
inference(resolution,[],[f5345,f5337]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW390+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n006.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 13:45:41 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 0.21/2.03 % (3974330)Detected formulas, will run a generic FOF schedule.
% 0.21/2.03 % (3974337)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=2513561625:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 0.21/2.03 % (3974340)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=746306543:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 0.21/2.03 % (3974335)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=4011124981:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 0.21/2.03 % (3974338)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2941576757:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 0.21/2.03 % (3974339)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2451533734:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 0.21/2.03 % (3974336)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=3126050591:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 0.21/2.03 % (3974341)dis-21_1_sil=8000:lcm=predicate:random_seed=85618226: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)
% 0.21/2.03 % (3974340)Instruction limit reached!
% 0.21/2.03 % (3974340)------------------------------
% 0.21/2.03 % (3974340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03 % (3974340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03 % (3974340)CaDiCaL version: 2.1.3
% 0.21/2.03 % (3974340)Termination reason: Instruction limit
% 0.21/2.03 % (3974340)Termination phase: SInE selection
% 0.21/2.03 % (3974340)Time elapsed: 0.056 s
% 0.21/2.03 % (3974340)Peak memory usage: 90 MB
% 0.21/2.03 % (3974340)Instructions burned: 139 (million)
% 0.21/2.03 % (3974339)Instruction limit reached!
% 0.21/2.03 % (3974339)------------------------------
% 0.21/2.03 % (3974339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03 % (3974339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03 % (3974339)CaDiCaL version: 2.1.3
% 0.21/2.03 % (3974339)Termination reason: Instruction limit
% 0.21/2.03 % (3974339)Termination phase: Saturation
% 0.21/2.03 % (3974339)Time elapsed: 0.064 s
% 0.21/2.03 % (3974339)Peak memory usage: 94 MB
% 0.21/2.03 % (3974339)Instructions burned: 120 (million)
% 0.21/2.03 % (3974338)Instruction limit reached!
% 0.21/2.03 % (3974338)------------------------------
% 0.21/2.03 % (3974338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03 % (3974338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03 % (3974338)CaDiCaL version: 2.1.3
% 0.21/2.03 % (3974338)Termination reason: Instruction limit
% 0.21/2.03 % (3974338)Termination phase: Saturation
% 0.21/2.03 % (3974338)Time elapsed: 0.070 s
% 0.21/2.03 % (3974338)Peak memory usage: 94 MB
% 0.21/2.03 % (3974338)Instructions burned: 109 (million)
% 0.21/2.03 % (3974341)Instruction limit reached!
% 0.21/2.03 % (3974341)------------------------------
% 0.21/2.03 % (3974341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03 % (3974341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03 % (3974341)CaDiCaL version: 2.1.3
% 0.21/2.03 % (3974341)Termination reason: Instruction limit
% 0.21/2.03 % (3974341)Termination phase: Preprocessing 3
% 0.21/2.03 % (3974341)Time elapsed: 0.082 s
% 0.21/2.03 % (3974341)Peak memory usage: 93 MB
% 0.21/2.03 % (3974341)Instructions burned: 129 (million)
% 0.21/2.03 % (3974349)lrs+10_1_sil=8000:sp=occurrence:random_seed=1436121672:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 0.21/2.03 % (3974350)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3993250707:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 0.21/2.03 % (3974351)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4251796057:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 0.21/2.03 % (3974352)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2367025912:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 0.21/2.03 % (3974350)Instruction limit reached!
% 0.21/2.03 % (3974350)------------------------------
% 0.21/2.03 % (3974350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03 % (3974350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03 % (3974350)CaDiCaL version: 2.1.3
% 0.21/2.03 % (3974350)Termination reason: Instruction limit
% 0.21/2.03 % (3974350)Termination phase: Property scanning
% 0.21/2.03 % (3974350)Time elapsed: 0.070 s
% 0.21/2.03 % (3974350)Peak memory usage: 91 MB
% 0.21/2.03 % (3974350)Instructions burned: 157 (million)
% 0.21/2.03 % (3974351)First to succeed.
% 0.21/2.03 % (3974351)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3974330"
% 0.21/2.03 % (3974352)Instruction limit reached!
% 0.21/2.03 % (3974352)------------------------------
% 0.21/2.03 % (3974352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03 % (3974352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03 % (3974352)CaDiCaL version: 2.1.3
% 0.21/2.03 % (3974352)Termination reason: Instruction limit
% 0.21/2.03 % (3974352)Termination phase: Preprocessing 3
% 0.21/2.03 % (3974352)Time elapsed: 0.125 s
% 0.21/2.03 % (3974352)Peak memory usage: 93 MB
% 0.21/2.03 % (3974352)Instructions burned: 249 (million)
% 0.21/2.03 % (3974349)Instruction limit reached!
% 0.21/2.03 % (3974349)------------------------------
% 0.21/2.03 % (3974349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03 % (3974349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03 % (3974349)CaDiCaL version: 2.1.3
% 0.21/2.03 % (3974349)Termination reason: Instruction limit
% 0.21/2.03 % (3974349)Termination phase: Saturation
% 0.21/2.03 % (3974349)Time elapsed: 0.177 s
% 0.21/2.03 % (3974349)Peak memory usage: 96 MB
% 0.21/2.03 % (3974349)Instructions burned: 286 (million)
% 0.21/2.03 % (3974357)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=536191200:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 0.21/2.03 % (3974359)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1117931858:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 0.21/2.03 % (3974358)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2941084964:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 0.21/2.03 % (3974357)Instruction limit reached!
% 0.21/2.03 % (3974357)------------------------------
% 0.21/2.03 % (3974357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03 % (3974357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03 % (3974357)CaDiCaL version: 2.1.3
% 0.21/2.03 % (3974357)Termination reason: Instruction limit
% 0.21/2.03 % (3974357)Termination phase: Saturation
% 0.21/2.03 % (3974357)Time elapsed: 0.158 s
% 0.21/2.03 % (3974357)Peak memory usage: 96 MB
% 0.21/2.03 % (3974357)Instructions burned: 296 (million)
% 0.21/2.03 % (3974359)Instruction limit reached!
% 0.21/2.03 % (3974359)------------------------------
% 0.21/2.03 % (3974359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03 % (3974359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03 % (3974359)CaDiCaL version: 2.1.3
% 0.21/2.03 % (3974359)Termination reason: Instruction limit
% 0.21/2.03 % (3974359)Termination phase: Preprocessing 3
% 0.21/2.03 % (3974359)Time elapsed: 0.076 s
% 0.21/2.03 % (3974359)Peak memory usage: 93 MB
% 0.21/2.03 % (3974359)Instructions burned: 114 (million)
% 0.21/2.03 % (3974351)Refutation found. Thanks to Tanya!
% 0.21/2.03 % SZS status Theorem for theBenchmark
% 0.21/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/2.03 % (3974351)------------------------------
% 0.21/2.03 % (3974351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03 % (3974351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03 % (3974351)CaDiCaL version: 2.1.3
% 0.21/2.03 % (3974351)Termination reason: Refutation
% 0.21/2.03 % (3974351)Time elapsed: 0.129 s
% 0.21/2.03 % (3974351)Peak memory usage: 95 MB
% 0.21/2.03 % (3974351)Instructions burned: 267 (million)
% 0.21/2.03 % (3974351)------------------------------
% 0.21/2.03 % (3974351)------------------------------
% 0.21/2.03 % (3974330)Success in time 1.15 s
% 0.21/2.03 % Vampire exiting
%------------------------------------------------------------------------------