%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW389+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 : n011.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 4.30s 1.74s
% Output : Refutation 4.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 12 unt; 0 def)
% Number of atoms : 23 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 3 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-5 aty)
% Number of variables : 32 ( 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( hBOOL(hAPP(hAPP(X4,X5),X6))
=> 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(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X6))),X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(X0,X5)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))) )
=> 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),X4),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_escape) ).
fof(f5222,axiom,
! [X0,X1,X2,X3] : hAPP(hAPP(c_COMBK(X3,X2),X1),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBK__1) ).
fof(f5228,axiom,
~ hBOOL(c_fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__fFalse__1) ).
fof(f5241,conjecture,
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),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),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(f5242,negated_conjecture,
~ 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),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(negated_conjecture,[status(cth)],[f5241]) ).
fof(f5243,plain,
~ 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),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(flattening,[],[f5242]) ).
fof(f5295,plain,
! [X0,X1,X2,X3,X4] :
( 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),X4),X1),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
| ? [X5,X6] :
( ~ 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(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X6))),X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(X0,X5)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
& hBOOL(hAPP(hAPP(X4,X5),X6)) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f5338,plain,
! [X0,X1,X2,X3,X4] :
( 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),X4),X1),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
| ( ~ 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(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK17(X0,X1,X2,X3,X4)))),X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(X0,sK16(X0,X1,X2,X3,X4))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
& hBOOL(hAPP(hAPP(X4,sK16(X0,X1,X2,X3,X4)),sK17(X0,X1,X2,X3,X4))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X5,sK16(X0,X1,X2,X3,X4)),skolemize(X6,sK17(X0,X1,X2,X3,X4))],[f5295]) ).
fof(f5340,plain,
~ 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),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5243]) ).
fof(f5461,plain,
! [X2,X3,X0,X1,X4] :
( 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),X4),X1),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(X4,sK16(X0,X1,X2,X3,X4)),sK17(X0,X1,X2,X3,X4))) ),
inference(cnf_transformation,[],[f5338]) ).
fof(f5463,plain,
! [X2,X3,X0,X1] : hAPP(hAPP(c_COMBK(X3,X2),X1),X0) = X1,
inference(cnf_transformation,[],[f5222]) ).
fof(f5473,plain,
~ hBOOL(c_fFalse),
inference(cnf_transformation,[],[f5228]) ).
fof(f5503,plain,
hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse)),sK16(v_Q,v_c,v_G,t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse)))),sK17(v_Q,v_c,v_G,t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))))),
inference(resolution,[],[f5340,f5461]) ).
fof(f5506,plain,
hBOOL(hAPP(hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse),sK17(v_Q,v_c,v_G,t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))))),
inference(forward_demodulation,[],[f5503,f5463]) ).
fof(f5507,plain,
hBOOL(c_fFalse),
inference(forward_demodulation,[],[f5506,f5463]) ).
fof(f5508,plain,
$false,
inference(forward_subsumption_resolution,[],[f5507,f5473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW389+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 % Computer : n011.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Mon Sep 28 13:46:01 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 4.30/1.74 % (3391090)Detected formulas, will run a generic FOF schedule.
% 4.30/1.74 % (3391099)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=12834017:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 4.30/1.74 % (3391095)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=2247828964:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 4.30/1.74 % (3391098)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2854496807:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 4.30/1.74 % (3391097)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=3932441397:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 4.30/1.74 % (3391100)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3998129900:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 4.30/1.74 % (3391096)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=4165991455:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 4.30/1.74 % (3391099)Instruction limit reached!
% 4.30/1.74 % (3391099)------------------------------
% 4.30/1.74 % (3391099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.30/1.74 % (3391099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.74 % (3391099)CaDiCaL version: 2.1.3
% 4.30/1.74 % (3391099)Termination reason: Instruction limit
% 4.30/1.74 % (3391099)Termination phase: Property scanning
% 4.30/1.74 % (3391099)Time elapsed: 0.046 s
% 4.30/1.74 % (3391099)Peak memory usage: 93 MB
% 4.30/1.74 % (3391099)Instructions burned: 121 (million)
% 4.30/1.74 % (3391101)dis-21_1_sil=8000:lcm=predicate:random_seed=2257402840: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)
% 4.30/1.74 % (3391098)First to succeed.
% 4.30/1.74 % (3391098)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3391090"
% 4.30/1.74 % (3391100)Instruction limit reached!
% 4.30/1.74 % (3391100)------------------------------
% 4.30/1.74 % (3391100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.30/1.74 % (3391100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.74 % (3391100)CaDiCaL version: 2.1.3
% 4.30/1.74 % (3391100)Termination reason: Instruction limit
% 4.30/1.74 % (3391100)Termination phase: SInE selection
% 4.30/1.74 % (3391100)Time elapsed: 0.058 s
% 4.30/1.74 % (3391100)Peak memory usage: 90 MB
% 4.30/1.74 % (3391100)Instructions burned: 139 (million)
% 4.30/1.74 % (3391101)Instruction limit reached!
% 4.30/1.74 % (3391101)------------------------------
% 4.30/1.74 % (3391101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.30/1.74 % (3391101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.74 % (3391101)CaDiCaL version: 2.1.3
% 4.30/1.74 % (3391101)Termination reason: Instruction limit
% 4.30/1.74 % (3391101)Termination phase: Preprocessing 3
% 4.30/1.74 % (3391101)Time elapsed: 0.086 s
% 4.30/1.74 % (3391101)Peak memory usage: 93 MB
% 4.30/1.74 % (3391101)Instructions burned: 129 (million)
% 4.30/1.74 % (3391108)lrs+10_1_sil=8000:sp=occurrence:random_seed=3234736363:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 4.30/1.74 % (3391110)lrs+10_1_sil=32000:urr=on:br=off:random_seed=827269131:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 4.30/1.74 % (3391108)Instruction limit reached!
% 4.30/1.74 % (3391108)------------------------------
% 4.30/1.74 % (3391108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.30/1.74 % (3391108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.74 % (3391108)CaDiCaL version: 2.1.3
% 4.30/1.74 % (3391108)Termination reason: Instruction limit
% 4.30/1.74 % (3391108)Termination phase: Saturation
% 4.30/1.74 % (3391108)Time elapsed: 0.086 s
% 4.30/1.74 % (3391108)Peak memory usage: 96 MB
% 4.30/1.74 % (3391108)Instructions burned: 287 (million)
% 4.30/1.74 % (3391111)lrs+1011_1_sil=32000:sp=occurrence:random_seed=554922801:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 4.30/1.74 % (3391098)Refutation found. Thanks to Tanya!
% 4.30/1.74 % SZS status Theorem for theBenchmark
% 4.30/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 4.30/1.74 % (3391098)------------------------------
% 4.30/1.74 % (3391098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.30/1.74 % (3391098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.74 % (3391098)CaDiCaL version: 2.1.3
% 4.30/1.74 % (3391098)Termination reason: Refutation
% 4.30/1.74 % (3391098)Time elapsed: 0.039 s
% 4.30/1.74 % (3391098)Peak memory usage: 94 MB
% 4.30/1.74 % (3391098)Instructions burned: 56 (million)
% 4.30/1.74 % (3391098)------------------------------
% 4.30/1.74 % (3391098)------------------------------
% 4.30/1.74 % (3391090)Success in time 0.861 s
% 4.30/1.74 % Vampire exiting
%------------------------------------------------------------------------------