%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV905-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 01:26:38 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.34s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 28 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f442,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(X1,c_Map_Odom(X0,X3,X2),X3))
| hAPP(X0,X1) != c_Option_Ooption_ONone(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_domIff_0) ).
fof(f460,axiom,
! [X0] :
( c_Com_OWT(c_Com_Ocom_OBODY(X0))
| hAPP(c_Com_Obody,X0) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT_OBody_0) ).
fof(f477,axiom,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X0)
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGF_0) ).
fof(f500,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X1,X0))
| hBOOL(c_in(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f501,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X1,X0,X2))
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f512,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f513,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f515,negated_conjecture,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f516,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f557,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X0)
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(forward_subsumption_resolution,[],[f477,f513]) ).
fof(f571,plain,
! [X0] :
( ~ c_Com_OWT(X0)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(forward_subsumption_resolution,[],[f557,f512]) ).
fof(f736,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| hAPP(c_Com_Obody,X0) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
inference(resolution,[],[f460,f571]) ).
fof(f737,plain,
c_Option_Ooption_ONone(tc_Com_Ocom) = hAPP(c_Com_Obody,v_x),
inference(resolution,[],[f736,f516]) ).
fof(f743,plain,
hBOOL(hAPP(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),v_x)),
inference(resolution,[],[f501,f515]) ).
fof(f746,plain,
! [X0] : hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),X0)),
inference(resolution,[],[f743,f500]) ).
fof(f2008,plain,
c_Option_Ooption_ONone(tc_Com_Ocom) != hAPP(c_Com_Obody,v_x),
inference(resolution,[],[f442,f746]) ).
fof(f2014,plain,
$false,
inference(forward_subsumption_resolution,[],[f2008,f737]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV905-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n001.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 12:58:48 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.19/0.34 % (328671)Will run a generic schedule for satisfiability detection.
% 0.19/0.34 % (328679)dis+10_1_sil=32000:sp=arity:random_seed=1158377580:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.34 % (328677)% WARNING: option uhcvi not known.
% 0.19/0.34 % (328678)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=604333038:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.34 % (328676)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3625562806_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.34 % (328677)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2212231911:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.34 % (328680)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3485311971:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.34 % (328682)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4086809480:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.34 % (328681)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1939235530:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.34 % (328679)Instruction limit reached!
% 0.19/0.34 % (328679)------------------------------
% 0.19/0.34 % (328679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (328679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (328679)CaDiCaL version: 2.1.3
% 0.19/0.34 % (328679)Termination reason: Instruction limit
% 0.19/0.34 % (328679)Termination phase: Saturation
% 0.19/0.34 % (328679)Time elapsed: 0.037 s
% 0.19/0.34 % (328679)Peak memory usage: 12 MB
% 0.19/0.34 % (328679)Instructions burned: 105 (million)
% 0.19/0.34 % (328690)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4665816:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.34 % (328681) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-328671-328681"...
% 0.19/0.34 % (328681)...printing done.
% 0.19/0.34 % (328681)Refutation found. Thanks to Tanya!
% 0.19/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.34 % (328681)------------------------------
% 0.19/0.34 % (328681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (328681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (328681)CaDiCaL version: 2.1.3
% 0.19/0.34 % (328681)Termination reason: Refutation
% 0.19/0.34 % (328681)Time elapsed: 0.063 s
% 0.19/0.34 % (328681)Peak memory usage: 13 MB
% 0.19/0.34 % (328681)Instructions burned: 96 (million)
% 0.19/0.34 % (328671)Success in time 0.12 s
% 0.19/0.34 % Vampire exiting
%------------------------------------------------------------------------------