%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV250-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:08:31 PM UTC 2026
% Result : Unsatisfiable 2.71s 1.16s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 19 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f2,negated_conjecture,
~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3,axiom,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__analz__Un_0) ).
fof(f4,axiom,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__synth__Un_0) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).
fof(f8,plain,
~ c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(resolution,[],[f6,f2]) ).
fof(f9,plain,
~ c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f7,f2]) ).
fof(f13,plain,
c_in(v_x,c_union(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[],[f1,f4]) ).
fof(f15,plain,
( c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)
| c_in(v_x,c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f13,f5]) ).
fof(f17,plain,
c_in(v_x,c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f15,f8]) ).
fof(f18,plain,
c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[],[f17,f3]) ).
fof(f19,plain,
$false,
inference(forward_subsumption_resolution,[],[f18,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV250-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.17 % Computer : n008.cluster.edu
% 0.13/0.17 % Model : x86_64 x86_64
% 0.13/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.17 % Memory : 8046.5625MB
% 0.13/0.17 % OS : Linux 6.8.0-71-generic
% 0.13/0.18 % CPULimit : 300
% 0.13/0.18 % WCLimit : 300
% 0.13/0.18 % DateTime : Mon Sep 28 10:18:54 UTC 2026
% 0.13/0.18 % CPUTime :
% 0.13/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.21 Running first-order theorem proving
% 0.13/0.21 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
% 2.71/1.16 % (2155908)Input is clausal, will run a generic CNF schedule.
% 2.71/1.16 % (2155917)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1278833426:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.71/1.16 % (2155917)First to succeed.
% 2.71/1.16 % (2155917)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2155908"
% 2.71/1.16 % (2155916)lrs+10_1_sil=8000:sp=occurrence:random_seed=2639531577:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.71/1.16 % (2155915)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=633778113:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.71/1.16 % (2155914)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1229766010:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.71/1.16 % (2155913)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=1803120489:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.71/1.16 % (2155916)Also succeeded, but the first one will report.
% 2.71/1.16 % (2155919)dis-21_1_sil=8000:lcm=predicate:random_seed=2769529274: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)
% 2.71/1.16 % (2155918)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2995567980:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.71/1.16 % (2155919)Refutation not found, incomplete strategy
% 2.71/1.16 % (2155919)------------------------------
% 2.71/1.16 % (2155919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.16 % (2155919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.16 % (2155919)CaDiCaL version: 2.1.3
% 2.71/1.16 % (2155919)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.16 % (2155919)Time elapsed: 0.001 s
% 2.71/1.16 % (2155919)Peak memory usage: 88 MB
% 2.71/1.16 % (2155918)Also succeeded, but the first one will report.
% 2.71/1.16 % (2155917)Refutation found. Thanks to Tanya!
% 2.71/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.71/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.16 % (2155917)------------------------------
% 2.71/1.16 % (2155917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.16 % (2155917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.16 % (2155917)CaDiCaL version: 2.1.3
% 2.71/1.16 % (2155917)Termination reason: Refutation
% 2.71/1.16 % (2155917)Time elapsed: 0.001 s
% 2.71/1.16 % (2155917)Peak memory usage: 88 MB
% 2.71/1.16 % (2155917)Instructions burned: 1 (million)
% 2.71/1.16 % (2155917)------------------------------
% 2.71/1.16 % (2155917)------------------------------
% 2.71/1.16 % (2155908)Success in time 0.295 s
% 2.71/1.16 % Vampire exiting
%------------------------------------------------------------------------------