%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV241-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:08:28 PM UTC 2026
% Result : Unsatisfiable 2.58s 1.06s
% Output : Refutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 11 unt; 1 def)
% Number of atoms : 51 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 16 ~; 22 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__trans_0) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f4,axiom,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f6,negated_conjecture,
c_in(v_Y,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f7,negated_conjecture,
c_in(v_X,c_Message_Oanalz(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f8,negated_conjecture,
~ c_in(v_Y,c_Message_Oanalz(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f10,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(X1),tc_Message_Omsg),X1,tc_Message_Omsg)
| c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f5,f1]) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2) = X0
| c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) ),
inference(resolution,[],[f3,f4]) ).
fof(f22,plain,
! [X0,X1] :
( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oanalz(X1),tc_Message_Omsg) = X0
| c_lessequals(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| c_lessequals(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f13,f10]) ).
fof(f25,plain,
! [X0,X1] :
( c_lessequals(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oanalz(X1),tc_Message_Omsg) = X0 ),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Message_Oanalz(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oanalz(X1),tc_Message_Omsg) = X0
| c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(resolution,[],[f25,f2]) ).
fof(f69,plain,
( v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_Message_Omsg)
| c_in(v_Y,c_Message_Oanalz(v_H),tc_Message_Omsg) ),
inference(resolution,[],[f34,f6]) ).
fof(f73,plain,
v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f69,f8]) ).
fof(f75,plain,
( ~ c_in(v_X,c_Message_Oanalz(v_H),tc_Message_Omsg)
| c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg)) ),
inference(superposition,[],[f5,f73]) ).
fof(f78,definition,
( spl0_1
<=> c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f80,plain,
( c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f86,plain,
c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg)),
inference(forward_subsumption_resolution,[],[f75,f7]) ).
fof(f92,plain,
spl0_1,
inference(avatar_split_clause,[],[f86,f78]) ).
fof(f98,plain,
( ! [X0] :
( ~ c_in(X0,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(v_H),tc_Message_Omsg) )
| ~ spl0_1 ),
inference(resolution,[],[f80,f2]) ).
fof(f114,plain,
( c_in(v_Y,c_Message_Oanalz(v_H),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f98,f6]) ).
fof(f118,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f114,f8]) ).
fof(f119,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f118]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f92]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f119]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s3,s4]) ).
fof(f120,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV241-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n004.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 10:15:07 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 2.58/1.06 % (261522)Input is clausal, will run a generic CNF schedule.
% 2.58/1.06 % (261530)lrs+10_1_sil=8000:sp=occurrence:random_seed=244865463:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.58/1.06 % (261530)First to succeed.
% 2.58/1.06 % (261530)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-261522"
% 2.58/1.06 % (261532)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=439396893:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.58/1.06 % (261533)dis-21_1_sil=8000:lcm=predicate:random_seed=1891347577: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)
% 2.58/1.06 % (261528)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2839174174:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.58/1.06 % (261527)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=1375001791:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.58/1.06 % (261529)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3620636281:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.58/1.06 % (261532)Also succeeded, but the first one will report.
% 2.58/1.06 % (261531)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4259179491:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.58/1.06 % (261531)Refutation not found, incomplete strategy
% 2.58/1.06 % (261531)------------------------------
% 2.58/1.06 % (261531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.06 % (261531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.06 % (261531)CaDiCaL version: 2.1.3
% 2.58/1.06 % (261531)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.06 % (261531)Time elapsed: 0.001 s
% 2.58/1.06 % (261531)Peak memory usage: 87 MB
% 2.58/1.06 % (261533)Instruction limit reached!
% 2.58/1.06 % (261533)------------------------------
% 2.58/1.06 % (261533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.06 % (261533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.06 % (261533)CaDiCaL version: 2.1.3
% 2.58/1.06 % (261533)Termination reason: Instruction limit
% 2.58/1.06 % (261533)Termination phase: Saturation
% 2.58/1.06 % (261533)Time elapsed: 0.066 s
% 2.58/1.06 % (261533)Peak memory usage: 88 MB
% 2.58/1.06 % (261533)Instructions burned: 119 (million)
% 2.58/1.06 % (261530)Refutation found. Thanks to Tanya!
% 2.58/1.06 % SZS status Unsatisfiable for theBenchmark
% 2.58/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 2.58/1.06 % (261530)------------------------------
% 2.58/1.06 % (261530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.06 % (261530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.06 % (261530)CaDiCaL version: 2.1.3
% 2.58/1.06 % (261530)Termination reason: Refutation
% 2.58/1.06 % (261530)Time elapsed: 0.003 s
% 2.58/1.06 % (261530)Peak memory usage: 89 MB
% 2.58/1.06 % (261530)Instructions burned: 6 (million)
% 2.58/1.06 % (261530)------------------------------
% 2.58/1.06 % (261530)------------------------------
% 2.58/1.06 % (261522)Success in time 0.284 s
% 2.58/1.06 % Vampire exiting
%------------------------------------------------------------------------------