%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV251-2 : 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 : n011.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 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 14 unt; 0 def)
% Number of atoms : 25 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 30 ( 30 !; 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/sandbox/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/sandbox/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(c_union(X0,X1,X2),X3,tc_set(X2))
| c_lessequals(X1,X3,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__Diff1_0) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f12,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f22,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(resolution,[],[f6,f12]) ).
fof(f31,plain,
! [X0] :
( c_in(v_x,X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f9,f14]) ).
fof(f40,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,[],[f31,f15]) ).
fof(f51,plain,
! [X0] : c_minus(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)) = c_minus(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),
inference(resolution,[],[f8,f13]) ).
fof(f56,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,[],[f40,f1]) ).
fof(f57,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)),c_minus(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[],[f4,f51]) ).
fof(f60,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(forward_demodulation,[],[f57,f4]) ).
fof(f89,plain,
! [X0] : c_lessequals(c_insert(v_X,X0,tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(superposition,[],[f22,f60]) ).
fof(f105,plain,
$false,
inference(resolution,[],[f89,f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV251-2 : 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 : n011.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 10:18:46 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
% 0.20/0.27 % (3302781)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (3302788)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3860364399:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (3302787)% WARNING: option uhcvi not known.
% 0.20/0.27 % (3302786)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=728887224_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % (3302787)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=895920196:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (3302789)dis+10_1_sil=32000:sp=arity:random_seed=1080045008:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (3302790)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3767032057:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (3302792)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=780681661:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % (3302791)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=768879038:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % TRYING [1]
% 0.20/0.27 % TRYING [2]
% 0.20/0.27 % TRYING [3]
% 0.20/0.27 % (3302790) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3302781-3302790"...
% 0.20/0.27 % (3302790)...printing done.
% 0.20/0.27 % (3302787) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3302781-3302787"...
% 0.20/0.27 % (3302789) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3302781-3302789"...
% 0.20/0.27 % (3302790)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (3302790)------------------------------
% 0.20/0.27 % (3302790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3302790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3302790)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3302790)Termination reason: Refutation
% 0.20/0.27 % (3302790)Time elapsed: 0.006 s
% 0.20/0.27 % (3302790)Peak memory usage: 11 MB
% 0.20/0.27 % (3302790)Instructions burned: 7 (million)
% 0.20/0.27 % (3302781)Success in time 0.045 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------