%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV966-1 : 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 : n010.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 01:19:52 PM UTC 2026
% Result : Unsatisfiable 3.63s 1.30s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-5 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-4 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f320,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrts(X0,X1,X2,X5,X7)
| c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OCall(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCallNT_0) ).
fof(f351,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(f381,axiom,
c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_esa____,v_Ts____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f382,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f383,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_OCall(v_e_Ha____,v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f386,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OCall(v_e_Ha____,v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(resolution,[],[f351,f383]) ).
fof(f430,plain,
! [X2,X3,X0,X1] :
( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,X0,X1)
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OCall(v_e_Ha____,X2,X0,tc_List_Olist(tc_String_Ochar)),X3) ),
inference(resolution,[],[f320,f382]) ).
fof(f449,plain,
! [X0,X1] : c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OCall(v_e_Ha____,X0,v_esa____,tc_List_Olist(tc_String_Ochar)),X1),
inference(resolution,[],[f430,f381]) ).
fof(f454,plain,
$false,
inference(resolution,[],[f449,f386]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV966-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n010.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 13:02:32 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.63/1.29 % (1907993)Input is clausal, will run a generic CNF schedule.
% 3.63/1.29 % (1908000)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4177475099:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.63/1.29 % (1908003)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1396093042:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.63/1.29 % (1908004)dis-21_1_sil=8000:lcm=predicate:random_seed=2604924983: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)
% 3.63/1.29 % (1907998)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=2950173568:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.63/1.29 % (1908001)lrs+10_1_sil=8000:sp=occurrence:random_seed=620085186:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.63/1.29 % (1908002)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2291519890:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.63/1.29 % (1907999)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2854244883:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.63/1.29 % (1908001)First to succeed.
% 3.63/1.29 % (1908001)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1907993"
% 3.63/1.29 % (1908003)Also succeeded, but the first one will report.
% 3.63/1.29 % (1908002)Instruction limit reached!
% 3.63/1.29 % (1908002)------------------------------
% 3.63/1.29 % (1908002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.29 % (1908002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.29 % (1908002)CaDiCaL version: 2.1.3
% 3.63/1.29 % (1908002)Termination reason: Instruction limit
% 3.63/1.29 % (1908002)Termination phase: Saturation
% 3.63/1.29 % (1908002)Time elapsed: 0.054 s
% 3.63/1.29 % (1908002)Peak memory usage: 88 MB
% 3.63/1.29 % (1908002)Instructions burned: 116 (million)
% 3.63/1.29 % (1908004)Instruction limit reached!
% 3.63/1.29 % (1908004)------------------------------
% 3.63/1.30 % (1908004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.30 % (1908004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.30 % (1908004)CaDiCaL version: 2.1.3
% 3.63/1.30 % (1908004)Termination reason: Instruction limit
% 3.63/1.30 % (1908004)Termination phase: Saturation
% 3.63/1.30 % (1908004)Time elapsed: 0.064 s
% 3.63/1.30 % (1908004)Peak memory usage: 88 MB
% 3.63/1.30 % (1908004)Instructions burned: 117 (million)
% 3.63/1.30 % (1908013)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=397766015: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)
% 3.63/1.30 % (1908012)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=3094320622:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.63/1.30 % (1908012)Also succeeded, but the first one will report.
% 3.63/1.30 % (1908013)Also succeeded, but the first one will report.
% 3.63/1.30 % (1908001)Refutation found. Thanks to Tanya!
% 3.63/1.30 % SZS status Unsatisfiable for theBenchmark
% 3.63/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.30 % (1908001)------------------------------
% 3.63/1.30 % (1908001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.30 % (1908001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.30 % (1908001)CaDiCaL version: 2.1.3
% 3.63/1.30 % (1908001)Termination reason: Refutation
% 3.63/1.30 % (1908001)Time elapsed: 0.006 s
% 3.63/1.30 % (1908001)Peak memory usage: 88 MB
% 3.63/1.30 % (1908001)Instructions burned: 7 (million)
% 3.63/1.30 % (1908001)------------------------------
% 3.63/1.30 % (1908001)------------------------------
% 3.63/1.30 % (1907993)Success in time 0.438 s
% 3.63/1.30 % Vampire exiting
%------------------------------------------------------------------------------