%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV250-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 01:20:35 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.27s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 31 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 33 ( 33 !; 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X1,X3,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X3,X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).
fof(f8,plain,
~ 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),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f9,plain,
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),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f10,plain,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X2,X3),X3)
| ~ c_in(X0,X2,X3)
| ~ c_in(X0,X1,X3) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X1,X3,X2),X2)
| c_in(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X3,X1,X2),X2)
| c_in(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f13,plain,
c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(resolution,[],[f11,f9]) ).
fof(f14,plain,
c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f12,f9]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Message_Osynth(X0),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[],[f10,f4]) ).
fof(f62,plain,
! [X0] :
( c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),X0,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f22,f13]) ).
fof(f63,plain,
! [X0] :
( ~ c_in(v_x,c_Message_Oanalz(c_union(v_G,X0,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f62,f3]) ).
fof(f79,plain,
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),
inference(resolution,[],[f63,f14]) ).
fof(f80,plain,
$false,
inference(forward_subsumption_resolution,[],[f79,f8]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n017.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 10:13:51 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.27 % (3453864)Will run a generic schedule for satisfiability detection.
% 0.08/0.27 % (3453869)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2765770046_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.27 % TRYING [1]
% 0.08/0.27 % TRYING [2]
% 0.08/0.27 % TRYING [3]
% 0.08/0.27 % (3453870)% WARNING: option uhcvi not known.
% 0.08/0.27 % TRYING [4]
% 0.08/0.27 % (3453870)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=713058417:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.27 % (3453871)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3330445007:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.27 % (3453872)dis+10_1_sil=32000:sp=arity:random_seed=2755393856:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.27 % (3453873)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4114617340:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.27 % (3453875)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1350156311:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.27 % (3453874)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3660534850:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.27 % (3453872) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3453864-3453872"...
% 0.08/0.27 % (3453873) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3453864-3453873"...
% 0.08/0.27 % (3453874) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3453864-3453874"...
% 0.08/0.27 % (3453870) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3453864-3453870"...
% 0.08/0.27 % (3453872)...printing done.
% 0.08/0.27 % (3453873)...printing done.
% 0.08/0.27 % (3453874)...printing done.
% 0.08/0.27 % (3453870)...printing done.
% 0.08/0.27 % (3453875) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3453864-3453875"...
% 0.08/0.27 % (3453875)...printing done.
% 0.08/0.27 % (3453870)Refutation found. Thanks to Tanya!
% 0.08/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.27 % (3453870)------------------------------
% 0.08/0.27 % (3453870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.27 % (3453870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.27 % (3453870)CaDiCaL version: 2.1.3
% 0.08/0.27 % (3453870)Termination reason: Refutation
% 0.08/0.27 % (3453870)Time elapsed: 0.005 s
% 0.08/0.27 % (3453870)Peak memory usage: 11 MB
% 0.08/0.27 % (3453870)Instructions burned: 6 (million)
% 0.08/0.27 % (3453864)Success in time 0.043 s
% 0.08/0.27 % Vampire exiting
%------------------------------------------------------------------------------