%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV995-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:19:55 PM UTC 2026
% Result : Unsatisfiable 3.45s 1.23s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-5 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-4 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f518,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(c_Pair(X0,X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_sko__TypeSafe__Mirabelle__XProgress__1(X2,X0,X1),v_sko__TypeSafe__Mirabelle__XProgress__2(X2,X0,X1),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X2),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_BigStep_Ofinal(X0,tc_List_Olist(tc_String_Ochar))
| ~ c_DefAss_O_092_060D_062(X0,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(X1),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
| ~ c_TypeSafe__Mirabelle_Owf__config(X2,X3,X1,X0,X4)
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Progress_0) ).
fof(f542,negated_conjecture,
c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f547,negated_conjecture,
! [X0,X1] : ~ c_in(c_Pair(c_Pair(v_e_H,v_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X0,X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(v_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f549,negated_conjecture,
c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,v_T_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f551,negated_conjecture,
c_DefAss_O_092_060D_062(v_e_H,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(v_s_H),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f552,negated_conjecture,
~ c_BigStep_Ofinal(v_e_H,tc_List_Olist(tc_String_Ochar)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f596,plain,
! [X0,X1] :
( c_BigStep_Ofinal(v_e_H,tc_List_Olist(tc_String_Ochar))
| ~ c_DefAss_O_092_060D_062(v_e_H,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(v_s_H),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
| ~ c_TypeSafe__Mirabelle_Owf__config(v_P,X0,v_s_H,v_e_H,X1)
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
inference(resolution,[],[f547,f518]) ).
fof(f597,plain,
! [X0,X1] :
( ~ c_DefAss_O_092_060D_062(v_e_H,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(v_s_H),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
| ~ c_TypeSafe__Mirabelle_Owf__config(v_P,X0,v_s_H,v_e_H,X1)
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
inference(forward_subsumption_resolution,[],[f596,f552]) ).
fof(f598,plain,
! [X0,X1] :
( ~ c_TypeSafe__Mirabelle_Owf__config(v_P,X0,v_s_H,v_e_H,X1)
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
inference(forward_subsumption_resolution,[],[f597,f551]) ).
fof(f599,plain,
! [X0,X1] : ~ c_TypeSafe__Mirabelle_Owf__config(v_P,X0,v_s_H,v_e_H,X1),
inference(forward_subsumption_resolution,[],[f598,f542]) ).
fof(f600,plain,
$false,
inference(resolution,[],[f599,f549]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV995-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 % Computer : n002.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 13:10:07 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running first-order theorem proving
% 0.06/0.23 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
% 3.02/1.14 % (337271)Input is clausal, will run a generic CNF schedule.
% 3.02/1.14 % (337280)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3014036659:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.02/1.14 % (337280)Instruction limit reached!
% 3.02/1.14 % (337280)------------------------------
% 3.02/1.14 % (337280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.14 % (337280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.14 % (337280)CaDiCaL version: 2.1.3
% 3.02/1.14 % (337280)Termination reason: Instruction limit
% 3.02/1.14 % (337280)Termination phase: Saturation
% 3.02/1.14 % (337280)Time elapsed: 0.036 s
% 3.02/1.14 % (337280)Peak memory usage: 89 MB
% 3.02/1.14 % (337280)Instructions burned: 115 (million)
% 3.02/1.14 % (337281)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3499869241:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.02/1.14 % (337282)dis-21_1_sil=8000:lcm=predicate:random_seed=754469381: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)
% 3.02/1.14 % (337277)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2611358786:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.02/1.14 % (337279)lrs+10_1_sil=8000:sp=occurrence:random_seed=3398651558:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.02/1.14 % (337276)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=3154913283:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.02/1.14 % (337278)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1889706122:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.02/1.14 % (337282)Instruction limit reached!
% 3.02/1.14 % (337282)------------------------------
% 3.02/1.14 % (337282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.14 % (337282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.14 % (337282)CaDiCaL version: 2.1.3
% 3.02/1.14 % (337282)Termination reason: Instruction limit
% 3.02/1.14 % (337282)Termination phase: Saturation
% 3.02/1.14 % (337282)Time elapsed: 0.047 s
% 3.02/1.14 % (337282)Peak memory usage: 88 MB
% 3.02/1.14 % (337282)Instructions burned: 117 (million)
% 3.02/1.14 % (337279)Instruction limit reached!
% 3.02/1.14 % (337279)------------------------------
% 3.02/1.14 % (337279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.14 % (337279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.14 % (337279)CaDiCaL version: 2.1.3
% 3.02/1.14 % (337279)Termination reason: Instruction limit
% 3.02/1.14 % (337279)Termination phase: Saturation
% 3.02/1.14 % (337279)Time elapsed: 0.057 s
% 3.02/1.14 % (337279)Peak memory usage: 89 MB
% 3.02/1.14 % (337279)Instructions burned: 107 (million)
% 3.02/1.14 % (337284)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3276649578:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.02/1.14 % (337284)First to succeed.
% 3.02/1.14 % (337284)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-337271"
% 3.02/1.14 % (337281)Instruction limit reached!
% 3.02/1.14 % (337281)------------------------------
% 3.02/1.14 % (337281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.14 % (337281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.14 % (337281)CaDiCaL version: 2.1.3
% 3.02/1.14 % (337281)Termination reason: Instruction limit
% 3.02/1.14 % (337281)Termination phase: Saturation
% 3.02/1.14 % (337281)Time elapsed: 0.101 s
% 3.02/1.14 % (337281)Peak memory usage: 89 MB
% 3.02/1.14 % (337281)Instructions burned: 180 (million)
% 3.02/1.14 % (337291)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=440291555:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.02/1.14 % (337292)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2540385123:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.02/1.14 % (337292)Also succeeded, but the first one will report.
% 3.02/1.14 % (337291)Also succeeded, but the first one will report.
% 3.45/1.23 % (337294)lrs+10_64_to=lpo:sil=8000:random_seed=2405333350:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.45/1.23 % (337284)Refutation found. Thanks to Tanya!
% 3.45/1.23 % SZS status Unsatisfiable for theBenchmark
% 3.45/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 3.45/1.23 % (337284)------------------------------
% 3.45/1.23 % (337284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.23 % (337284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.23 % (337284)CaDiCaL version: 2.1.3
% 3.45/1.23 % (337284)Termination reason: Refutation
% 3.45/1.23 % (337284)Time elapsed: 0.016 s
% 3.45/1.23 % (337284)Peak memory usage: 89 MB
% 3.45/1.23 % (337284)Instructions burned: 61 (million)
% 3.45/1.23 % (337284)------------------------------
% 3.45/1.23 % (337284)------------------------------
% 3.45/1.23 % (337271)Success in time 0.48 s
% 3.45/1.23 % Vampire exiting
%------------------------------------------------------------------------------