%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV772-1 : 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 : n020.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 01:19:28 PM UTC 2026
% Result : Unsatisfiable 2.19s 0.79s
% Output : Refutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f448,axiom,
! [X0] : c_Event_Oknows(X0,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Nil_0) ).
fof(f449,plain,
! [X0] : c_Event_OinitState(X0) = c_Event_Oknows(X0,c_List_Olist_ONil(tc_Event_Oevent)),
inference(reorient_equations,[],[f448]) ).
fof(f486,axiom,
! [X2,X3,X0,X1] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
fof(f515,axiom,
! [X0,X1] : X0 = c_List_Oappend(c_List_Olist_ONil(X1),X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv2_1) ).
fof(f516,plain,
! [X0,X1] : c_List_Oappend(c_List_Olist_ONil(X1),X0,X1) = X0,
inference(reorient_equations,[],[f515]) ).
fof(f538,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_OSays(v_A,v_B,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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f553,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_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),
inference(superposition,[],[f538,f516]) ).
fof(f554,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg),
inference(forward_demodulation,[],[f553,f449]) ).
fof(f986,plain,
c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg),
inference(superposition,[],[f554,f486]) ).
fof(f992,plain,
c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg),
inference(forward_demodulation,[],[f986,f449]) ).
fof(f993,plain,
$false,
inference(trivial_inequality_removal,[],[f992]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV772-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n020.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 12:31:20 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 2.19/0.79 % (134913)Input is clausal, will run a generic CNF schedule.
% 2.19/0.79 % (134923)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2886439555:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.19/0.79 % (134923)First to succeed.
% 2.19/0.79 % (134923)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-134913"
% 2.19/0.79 % (134921)lrs+10_1_sil=8000:sp=occurrence:random_seed=2003292485:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.19/0.79 % (134919)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=140269750:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.19/0.79 % (134924)dis-21_1_sil=8000:lcm=predicate:random_seed=2409133307: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)
% 2.19/0.79 % (134922)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4081770960:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.19/0.79 % (134918)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=2715499305:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.19/0.79 % (134920)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3512454536:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.19/0.79 % (134921)Also succeeded, but the first one will report.
% 2.19/0.79 % (134922)Also succeeded, but the first one will report.
% 2.19/0.79 % (134924)Instruction limit reached!
% 2.19/0.79 % (134924)------------------------------
% 2.19/0.79 % (134924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.19/0.79 % (134924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.79 % (134924)CaDiCaL version: 2.1.3
% 2.19/0.79 % (134924)Termination reason: Instruction limit
% 2.19/0.79 % (134924)Termination phase: Saturation
% 2.19/0.79 % (134924)Time elapsed: 0.070 s
% 2.19/0.79 % (134924)Peak memory usage: 89 MB
% 2.19/0.79 % (134924)Instructions burned: 118 (million)
% 2.19/0.79 % (134923)Refutation found. Thanks to Tanya!
% 2.19/0.79 % SZS status Unsatisfiable for theBenchmark
% 2.19/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.79 % (134923)------------------------------
% 2.19/0.79 % (134923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.19/0.79 % (134923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.79 % (134923)CaDiCaL version: 2.1.3
% 2.19/0.79 % (134923)Termination reason: Refutation
% 2.19/0.79 % (134923)Time elapsed: 0.014 s
% 2.19/0.79 % (134923)Peak memory usage: 89 MB
% 2.19/0.79 % (134923)Instructions burned: 37 (million)
% 2.19/0.79 % (134923)------------------------------
% 2.19/0.79 % (134923)------------------------------
% 2.19/0.79 % (134913)Success in time 0.279 s
% 2.19/0.79 % Vampire exiting
%------------------------------------------------------------------------------