%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV776-1 : 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 : n014.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 01:19:29 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.30s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 19 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f526,axiom,
! [X2,X0,X1] : c_List_Oappend(c_List_Olist_ONil(X0),c_List_Olist_OCons(X1,X2,X0),X0) = c_List_Olist_OCons(X1,X2,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_4) ).
fof(f527,plain,
! [X2,X0,X1] : c_List_Olist_OCons(X1,X2,X0) = c_List_Oappend(c_List_Olist_ONil(X0),c_List_Olist_OCons(X1,X2,X0),X0),
inference(reorient_equations,[],[f526]) ).
fof(f571,axiom,
! [X2,X0,X1] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_0) ).
fof(f575,axiom,
! [X2,X0,X1] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2)
| c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).
fof(f576,plain,
! [X2,X0,X1] :
( c_Event_Oknows(c_Message_Oagent_OSpy,X2) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent))
| c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(reorient_equations,[],[f575]) ).
fof(f591,negated_conjecture,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f592,negated_conjecture,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f607,plain,
( c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent))
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_demodulation,[],[f592,f527]) ).
fof(f608,plain,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_demodulation,[],[f591,f527]) ).
fof(f610,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(forward_subsumption_resolution,[],[f607,f571]) ).
fof(f611,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(forward_subsumption_resolution,[],[f608,f576]) ).
fof(f621,plain,
$false,
inference(forward_subsumption_resolution,[],[f611,f610]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV776-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.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 12:31:16 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 0.19/1.30 % (1751269)Input is clausal, will run a generic CNF schedule.
% 0.19/1.30 % (1751280)dis-21_1_sil=8000:lcm=predicate:random_seed=1849824877: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)
% 0.19/1.30 % (1751280)Instruction limit reached!
% 0.19/1.30 % (1751280)------------------------------
% 0.19/1.30 % (1751280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (1751280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (1751280)CaDiCaL version: 2.1.3
% 0.19/1.30 % (1751280)Termination reason: Instruction limit
% 0.19/1.30 % (1751280)Termination phase: Saturation
% 0.19/1.30 % (1751280)Time elapsed: 0.033 s
% 0.19/1.30 % (1751280)Peak memory usage: 89 MB
% 0.19/1.30 % (1751280)Instructions burned: 119 (million)
% 0.19/1.30 % (1751277)lrs+10_1_sil=8000:sp=occurrence:random_seed=436810704:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.30 % (1751279)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3098454015:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.30 % (1751278)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1372184662:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.30 % (1751276)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2517950824:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.30 % (1751274)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=1268811555:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.30 % (1751275)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3336961190:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.30 % (1751277)First to succeed.
% 0.19/1.30 % (1751277)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1751269"
% 0.19/1.30 % (1751278)Instruction limit reached!
% 0.19/1.30 % (1751278)------------------------------
% 0.19/1.30 % (1751278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (1751278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (1751278)CaDiCaL version: 2.1.3
% 0.19/1.30 % (1751278)Termination reason: Instruction limit
% 0.19/1.30 % (1751278)Termination phase: Saturation
% 0.19/1.30 % (1751278)Time elapsed: 0.074 s
% 0.19/1.30 % (1751278)Peak memory usage: 88 MB
% 0.19/1.30 % (1751278)Instructions burned: 115 (million)
% 0.19/1.30 % (1751282)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=4157716863:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.19/1.30 % (1751282)Also succeeded, but the first one will report.
% 0.19/1.30 % (1751279)Instruction limit reached!
% 0.19/1.30 % (1751279)------------------------------
% 0.19/1.30 % (1751279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (1751279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (1751279)CaDiCaL version: 2.1.3
% 0.19/1.30 % (1751279)Termination reason: Instruction limit
% 0.19/1.30 % (1751279)Termination phase: Saturation
% 0.19/1.30 % (1751279)Time elapsed: 0.129 s
% 0.19/1.30 % (1751279)Peak memory usage: 89 MB
% 0.19/1.30 % (1751279)Instructions burned: 180 (million)
% 0.19/1.30 % (1751289)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4001327015: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)
% 0.19/1.30 % (1751277)Refutation found. Thanks to Tanya!
% 0.19/1.30 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.30 % (1751277)------------------------------
% 0.19/1.30 % (1751277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (1751277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (1751277)CaDiCaL version: 2.1.3
% 0.19/1.30 % (1751277)Termination reason: Refutation
% 0.19/1.30 % (1751277)Time elapsed: 0.008 s
% 0.19/1.30 % (1751277)Peak memory usage: 88 MB
% 0.19/1.30 % (1751277)Instructions burned: 10 (million)
% 0.19/1.30 % (1751277)------------------------------
% 0.19/1.30 % (1751277)------------------------------
% 0.19/1.30 % (1751269)Success in time 0.452 s
% 0.19/1.30 % Vampire exiting
%------------------------------------------------------------------------------