%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV251-2 : 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 : n012.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 2.89s 0.89s
% Output : Refutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 27 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 14 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
fof(f3,axiom,
! [X2,X0,X1] : c_union(X0,c_minus(X1,X0,tc_set(X2)),X2) = c_union(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel_0) ).
fof(f4,plain,
! [X2,X0,X1] : c_union(X0,X1,X2) = c_union(X0,c_minus(X1,X0,tc_set(X2)),X2),
inference(reorient_equations,[],[f3]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X1,X3,tc_set(X2))
| ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__Diff1_0) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f12,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f13,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f14,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f15,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(f16,plain,
! [X0] :
( ~ c_in(v_x,X0,tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f9,f15]) ).
fof(f17,plain,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolution,[],[f16,f14]) ).
fof(f21,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[],[f17,f1]) ).
fof(f24,plain,
! [X2,X3,X0,X1] :
( c_union(X1,c_insert(X3,X0,X2),X2) = c_union(X1,c_minus(X0,X1,tc_set(X2)),X2)
| ~ c_in(X3,X1,X2) ),
inference(superposition,[],[f4,f8]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X3,X1,X2)
| c_union(X1,c_insert(X3,X0,X2),X2) = c_union(X1,X0,X2) ),
inference(forward_demodulation,[],[f24,f4]) ).
fof(f28,plain,
! [X0] : ~ c_lessequals(c_union(X0,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[],[f21,f6]) ).
fof(f44,plain,
! [X0] : c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_insert(v_X,X0,tc_Message_Omsg),tc_Message_Omsg) = c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg),
inference(resolution,[],[f27,f13]) ).
fof(f47,plain,
~ c_lessequals(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(superposition,[],[f28,f44]) ).
fof(f49,plain,
$false,
inference(forward_subsumption_resolution,[],[f47,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV251-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 10:18:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running first-order theorem proving
% 0.09/0.13 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
% 2.89/0.89 % (3282720)Input is clausal, will run a generic CNF schedule.
% 2.89/0.89 % (3282736)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3587905798:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.89/0.89 % (3282737)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=467759694:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.89/0.89 % (3282740)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1522103553:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.89/0.89 % (3282738)lrs+10_1_sil=8000:sp=occurrence:random_seed=3344425615:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.89/0.89 % (3282735)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=1720691981:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.89/0.89 % (3282741)dis-21_1_sil=8000:lcm=predicate:random_seed=4199239650: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)
% 2.89/0.89 % (3282740)First to succeed.
% 2.89/0.89 % (3282740)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3282720"
% 2.89/0.89 % (3282738)Also succeeded, but the first one will report.
% 2.89/0.89 % (3282739)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4177780147:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.89/0.89 % (3282741)Instruction limit reached!
% 2.89/0.89 % (3282741)------------------------------
% 2.89/0.89 % (3282741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/0.89 % (3282741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.89 % (3282741)CaDiCaL version: 2.1.3
% 2.89/0.89 % (3282741)Termination reason: Instruction limit
% 2.89/0.89 % (3282741)Termination phase: Saturation
% 2.89/0.89 % (3282741)Time elapsed: 0.054 s
% 2.89/0.89 % (3282741)Peak memory usage: 88 MB
% 2.89/0.89 % (3282741)Instructions burned: 118 (million)
% 2.89/0.89 % (3282739)Instruction limit reached!
% 2.89/0.89 % (3282739)------------------------------
% 2.89/0.89 % (3282739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/0.89 % (3282739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.89 % (3282739)CaDiCaL version: 2.1.3
% 2.89/0.89 % (3282739)Termination reason: Instruction limit
% 2.89/0.89 % (3282739)Termination phase: Saturation
% 2.89/0.89 % (3282739)Time elapsed: 0.044 s
% 2.89/0.89 % (3282739)Peak memory usage: 88 MB
% 2.89/0.89 % (3282739)Instructions burned: 114 (million)
% 2.89/0.89 % (3282740)Refutation found. Thanks to Tanya!
% 2.89/0.89 % SZS status Unsatisfiable for theBenchmark
% 2.89/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 2.89/0.89 % (3282740)------------------------------
% 2.89/0.89 % (3282740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/0.89 % (3282740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.89 % (3282740)CaDiCaL version: 2.1.3
% 2.89/0.89 % (3282740)Termination reason: Refutation
% 2.89/0.89 % (3282740)Time elapsed: 0.003 s
% 2.89/0.89 % (3282740)Peak memory usage: 88 MB
% 2.89/0.89 % (3282740)Instructions burned: 4 (million)
% 2.89/0.89 % (3282740)------------------------------
% 2.89/0.89 % (3282740)------------------------------
% 2.89/0.89 % (3282720)Success in time 0.383 s
% 2.89/0.89 % Vampire exiting
%------------------------------------------------------------------------------