%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV939-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 01:19:49 PM UTC 2026
% Result : Unsatisfiable 3.90s 1.37s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 26 ( 26 usr; 16 con; 0-4 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f798,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_H_H____),v_T____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_T_H_HsubT_0) ).
fof(f826,axiom,
v_T_H____ = v_T____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_T_HisT_0) ).
fof(f827,plain,
v_T____ = v_T_H____,
inference(reorient_equations,[],[f826]) ).
fof(f844,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_T_H_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f848,negated_conjecture,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T_H____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f854,plain,
! [X0] :
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),X0)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T____)) ),
inference(superposition,[],[f848,f827]) ).
fof(f1205,plain,
~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_H_H____),v_T____)),
inference(resolution,[],[f844,f854]) ).
fof(f1220,plain,
$false,
inference(forward_subsumption_resolution,[],[f1205,f798]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV939-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n005.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 12:57:47 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 3.90/1.37 % (765676)Input is clausal, will run a generic CNF schedule.
% 3.90/1.37 % (765685)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=96341809:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.90/1.37 % (765683)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3293123184:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.90/1.37 % (765687)dis-21_1_sil=8000:lcm=predicate:random_seed=116475235: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)
% 3.90/1.37 % (765682)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=858098346:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.90/1.37 % (765681)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=3158457235:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.90/1.37 % (765684)lrs+10_1_sil=8000:sp=occurrence:random_seed=858472666:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.90/1.37 % (765685)Instruction limit reached!
% 3.90/1.37 % (765685)------------------------------
% 3.90/1.37 % (765685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.37 % (765685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.37 % (765685)CaDiCaL version: 2.1.3
% 3.90/1.37 % (765685)Termination reason: Instruction limit
% 3.90/1.37 % (765685)Termination phase: Saturation
% 3.90/1.37 % (765685)Time elapsed: 0.039 s
% 3.90/1.37 % (765685)Peak memory usage: 88 MB
% 3.90/1.37 % (765685)Instructions burned: 117 (million)
% 3.90/1.37 % (765686)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2937308246:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.90/1.37 % (765686)First to succeed.
% 3.90/1.37 % (765686)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-765676"
% 3.90/1.37 % (765687)Instruction limit reached!
% 3.90/1.37 % (765687)------------------------------
% 3.90/1.37 % (765687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.37 % (765687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.37 % (765687)CaDiCaL version: 2.1.3
% 3.90/1.37 % (765687)Termination reason: Instruction limit
% 3.90/1.37 % (765687)Termination phase: Saturation
% 3.90/1.37 % (765687)Time elapsed: 0.059 s
% 3.90/1.37 % (765687)Peak memory usage: 89 MB
% 3.90/1.37 % (765687)Instructions burned: 117 (million)
% 3.90/1.37 % (765684)Instruction limit reached!
% 3.90/1.37 % (765684)------------------------------
% 3.90/1.37 % (765684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.37 % (765684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.37 % (765684)CaDiCaL version: 2.1.3
% 3.90/1.37 % (765684)Termination reason: Instruction limit
% 3.90/1.37 % (765684)Termination phase: Saturation
% 3.90/1.37 % (765684)Time elapsed: 0.065 s
% 3.90/1.37 % (765684)Peak memory usage: 89 MB
% 3.90/1.37 % (765684)Instructions burned: 107 (million)
% 3.90/1.37 % (765694)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=3526195914:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.90/1.37 % (765694)Also succeeded, but the first one will report.
% 3.90/1.37 % (765697)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2175354863:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.90/1.37 % (765696)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=892224471: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)
% 3.90/1.37 % (765696)Instruction limit reached!
% 3.90/1.37 % (765696)------------------------------
% 3.90/1.37 % (765696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.37 % (765696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.37 % (765696)CaDiCaL version: 2.1.3
% 3.90/1.37 % (765696)Termination reason: Instruction limit
% 3.90/1.37 % (765696)Termination phase: Saturation
% 3.90/1.37 % (765696)Time elapsed: 0.098 s
% 3.90/1.37 % (765696)Peak memory usage: 90 MB
% 3.90/1.37 % (765696)Instructions burned: 189 (million)
% 3.90/1.37 % (765697)Instruction limit reached!
% 3.90/1.37 % (765697)------------------------------
% 3.90/1.37 % (765697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.37 % (765697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.37 % (765697)CaDiCaL version: 2.1.3
% 3.90/1.37 % (765697)Termination reason: Instruction limit
% 3.90/1.37 % (765697)Termination phase: Saturation
% 3.90/1.37 % (765697)Time elapsed: 0.114 s
% 3.90/1.37 % (765697)Peak memory usage: 90 MB
% 3.90/1.37 % (765697)Instructions burned: 221 (million)
% 3.90/1.37 % (765686)Refutation found. Thanks to Tanya!
% 3.90/1.37 % SZS status Unsatisfiable for theBenchmark
% 3.90/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.37 % (765686)------------------------------
% 3.90/1.37 % (765686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.37 % (765686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.37 % (765686)CaDiCaL version: 2.1.3
% 3.90/1.37 % (765686)Termination reason: Refutation
% 3.90/1.37 % (765686)Time elapsed: 0.048 s
% 3.90/1.37 % (765686)Peak memory usage: 89 MB
% 3.90/1.37 % (765686)Instructions burned: 81 (million)
% 3.90/1.37 % (765686)------------------------------
% 3.90/1.37 % (765686)------------------------------
% 3.90/1.37 % (765676)Success in time 0.5 s
% 3.90/1.37 % Vampire exiting
%------------------------------------------------------------------------------