%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV958-1 : 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 : n018.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 01:19:51 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 31 ( 2 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-6 aty)
% Number of functors : 20 ( 20 usr; 13 con; 0-5 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f407,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_092_060_094isub_0622____),v_TF____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sub_0) ).
fof(f424,axiom,
! [X2,X0,X1] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,X1),X2),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__refl_0) ).
fof(f436,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0622_H_0) ).
fof(f439,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,X6,X7)
| ~ c_TypeRel_Ohas__field(X0,X9,X4,X8,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_OClass(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtFAss_0) ).
fof(f459,axiom,
v_T____ = c_Type_Oty_OVoid,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f460,plain,
c_Type_Oty_OVoid = v_T____,
inference(reorient_equations,[],[f459]) ).
fof(f463,axiom,
c_TypeRel_Ohas__field(v_P,v_C_H____,v_F____,v_TF____,v_D____,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_CHAINED_0_03) ).
fof(f464,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_04) ).
fof(f465,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____))
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f469,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
| c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),v_T____)
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,X6,X7)
| ~ c_TypeRel_Ohas__field(X0,X9,X4,X8,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_OClass(X9)) ),
inference(definition_unfolding,[],[f439,f460]) ).
fof(f485,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(resolution,[],[f424,f465]) ).
fof(f639,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_TypeRel_Ohas__field(v_P,X6,X3,v_TF____,X4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(v_P,X0,X1,X5,v_T_092_060_094isub_0622____)
| c_WellTypeRT_OWTrt(v_P,X0,X1,c_Expr_Oexp_OFAss(X2,X3,X4,X5,tc_List_Olist(tc_String_Ochar)),v_T____)
| ~ c_WellTypeRT_OWTrt(v_P,X0,X1,X2,c_Type_Oty_OClass(X6)) ),
inference(resolution,[],[f469,f407]) ).
fof(f978,plain,
! [X2,X3,X0,X1] :
( c_WellTypeRT_OWTrt(v_P,X0,X1,c_Expr_Oexp_OFAss(X3,v_F____,v_D____,X2,tc_List_Olist(tc_String_Ochar)),v_T____)
| ~ c_WellTypeRT_OWTrt(v_P,X0,X1,X2,v_T_092_060_094isub_0622____)
| ~ c_WellTypeRT_OWTrt(v_P,X0,X1,X3,c_Type_Oty_OClass(v_C_H____)) ),
inference(resolution,[],[f639,f463]) ).
fof(f1353,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____)
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)) ),
inference(resolution,[],[f978,f485]) ).
fof(f1368,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)),
inference(forward_subsumption_resolution,[],[f1353,f436]) ).
fof(f1369,plain,
$false,
inference(forward_subsumption_resolution,[],[f1368,f464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV958-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.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 13:03:33 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 0.20/1.30 % (3366796)Input is clausal, will run a generic CNF schedule.
% 0.20/1.30 % (3366801)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=4213529760:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.30 % (3366802)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2130768484:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.30 % (3366804)lrs+10_1_sil=8000:sp=occurrence:random_seed=2693787097:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.30 % (3366805)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4019417113:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.30 % (3366803)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2751452657:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.30 % (3366806)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=35143378:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.30 % (3366807)dis-21_1_sil=8000:lcm=predicate:random_seed=3055405015: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)
% 0.20/1.30 % (3366804)First to succeed.
% 0.20/1.30 % (3366804)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3366796"
% 0.20/1.30 % (3366807)Instruction limit reached!
% 0.20/1.30 % (3366807)------------------------------
% 0.20/1.30 % (3366807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (3366807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (3366807)CaDiCaL version: 2.1.3
% 0.20/1.30 % (3366807)Termination reason: Instruction limit
% 0.20/1.30 % (3366807)Termination phase: Saturation
% 0.20/1.30 % (3366807)Time elapsed: 0.064 s
% 0.20/1.30 % (3366807)Peak memory usage: 89 MB
% 0.20/1.30 % (3366807)Instructions burned: 118 (million)
% 0.20/1.30 % (3366805)Instruction limit reached!
% 0.20/1.30 % (3366805)------------------------------
% 0.20/1.30 % (3366805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (3366805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (3366805)CaDiCaL version: 2.1.3
% 0.20/1.30 % (3366805)Termination reason: Instruction limit
% 0.20/1.30 % (3366805)Termination phase: Saturation
% 0.20/1.30 % (3366805)Time elapsed: 0.070 s
% 0.20/1.30 % (3366805)Peak memory usage: 89 MB
% 0.20/1.30 % (3366805)Instructions burned: 114 (million)
% 0.20/1.30 % (3366806)Instruction limit reached!
% 0.20/1.30 % (3366806)------------------------------
% 0.20/1.30 % (3366806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (3366806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (3366806)CaDiCaL version: 2.1.3
% 0.20/1.30 % (3366806)Termination reason: Instruction limit
% 0.20/1.30 % (3366806)Termination phase: Saturation
% 0.20/1.30 % (3366806)Time elapsed: 0.106 s
% 0.20/1.30 % (3366806)Peak memory usage: 89 MB
% 0.20/1.30 % (3366806)Instructions burned: 180 (million)
% 0.20/1.30 % (3366815)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=4278846516:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.20/1.30 % (3366815)Refutation not found, incomplete strategy
% 0.20/1.30 % (3366815)------------------------------
% 0.20/1.30 % (3366815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (3366815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (3366815)CaDiCaL version: 2.1.3
% 0.20/1.30 % (3366815)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.30 % (3366815)Time elapsed: 0.004 s
% 0.20/1.30 % (3366815)Peak memory usage: 88 MB
% 0.20/1.30 % (3366815)Instructions burned: 4 (million)
% 0.20/1.30 % (3366816)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1441764306: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)
% 0.20/1.30 % (3366816)Also succeeded, but the first one will report.
% 0.20/1.30 % (3366817)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=942587887:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.20/1.30 % (3366804)Refutation found. Thanks to Tanya!
% 0.20/1.30 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.30 % (3366804)------------------------------
% 0.20/1.30 % (3366804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (3366804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (3366804)CaDiCaL version: 2.1.3
% 0.20/1.30 % (3366804)Termination reason: Refutation
% 0.20/1.30 % (3366804)Time elapsed: 0.032 s
% 0.20/1.30 % (3366804)Peak memory usage: 89 MB
% 0.20/1.30 % (3366804)Instructions burned: 51 (million)
% 0.20/1.30 % (3366804)------------------------------
% 0.20/1.30 % (3366804)------------------------------
% 0.20/1.30 % (3366796)Success in time 0.448 s
% 0.20/1.30 % Vampire exiting
%------------------------------------------------------------------------------