%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV955-1 : 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 : n009.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 2.69s 1.17s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 18 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-5 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f360,axiom,
! [X2,X3,X0,X1,X6,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)
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,X6,X7)
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtFAssNT_0) ).
fof(f418,axiom,
! [X2,X0,X1] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,X1),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__refl_0) ).
fof(f452,axiom,
v_T____ = c_Type_Oty_OVoid,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f453,plain,
c_Type_Oty_OVoid = v_T____,
inference(reorient_equations,[],[f452]) ).
fof(f454,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/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f455,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f456,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f461,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,X6,X7)
| 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,X3,c_Type_Oty_ONT) ),
inference(definition_unfolding,[],[f360,f453]) ).
fof(f468,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,[],[f418,f456]) ).
fof(f477,plain,
! [X2,X0,X1] :
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(X0,X1,X2,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____)
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,X0,c_Type_Oty_ONT) ),
inference(resolution,[],[f461,f454]) ).
fof(f480,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
inference(resolution,[],[f477,f468]) ).
fof(f483,plain,
$false,
inference(forward_subsumption_resolution,[],[f480,f455]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV955-1 : 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 : n009.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 13:01:30 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
% 2.69/1.17 % (3010491)Input is clausal, will run a generic CNF schedule.
% 2.69/1.17 % (3010499)lrs+10_1_sil=8000:sp=occurrence:random_seed=2885418366:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.69/1.17 % (3010499)First to succeed.
% 2.69/1.17 % (3010499)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3010491"
% 2.69/1.17 % (3010502)dis-21_1_sil=8000:lcm=predicate:random_seed=2652933297: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)
% 2.69/1.17 % (3010497)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=725376443:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.69/1.17 % (3010496)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=1990569555:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.69/1.17 % (3010500)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2196168516:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.69/1.17 % (3010498)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4037864967:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.69/1.17 % (3010501)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=17118233:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.69/1.17 % (3010501)Also succeeded, but the first one will report.
% 2.69/1.17 % (3010502)Also succeeded, but the first one will report.
% 2.69/1.17 % (3010500)Instruction limit reached!
% 2.69/1.17 % (3010500)------------------------------
% 2.69/1.17 % (3010500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.17 % (3010500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.17 % (3010500)CaDiCaL version: 2.1.3
% 2.69/1.17 % (3010500)Termination reason: Instruction limit
% 2.69/1.17 % (3010500)Termination phase: Saturation
% 2.69/1.17 % (3010500)Time elapsed: 0.069 s
% 2.69/1.17 % (3010500)Peak memory usage: 89 MB
% 2.69/1.17 % (3010500)Instructions burned: 114 (million)
% 2.69/1.17 % (3010499)Refutation found. Thanks to Tanya!
% 2.69/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.69/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.17 % (3010499)------------------------------
% 2.69/1.17 % (3010499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.17 % (3010499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.17 % (3010499)CaDiCaL version: 2.1.3
% 2.69/1.17 % (3010499)Termination reason: Refutation
% 2.69/1.17 % (3010499)Time elapsed: 0.002 s
% 2.69/1.17 % (3010499)Peak memory usage: 88 MB
% 2.69/1.17 % (3010499)Instructions burned: 5 (million)
% 2.69/1.17 % (3010499)------------------------------
% 2.69/1.17 % (3010499)------------------------------
% 2.69/1.17 % (3010491)Success in time 0.297 s
% 2.69/1.17 % Vampire exiting
%------------------------------------------------------------------------------