%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR062+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:44:48 AM UTC 2026
% Result : Theorem 0.29s 0.40s
% Output : Refutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 13 unt; 2 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 72 ( 33 ~; 28 |; 2 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 35 ( 0 sgn 33 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
=> tptptypes_5_387(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
fof(f9,axiom,
! [X0,X1] :
( tptptypes_7_389(X0,X1)
=> tptptypes_6_388(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f11,axiom,
! [X0,X1] :
( tptptypes_8_390(X0,X1)
=> tptptypes_7_389(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
fof(f12,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
fof(f13,axiom,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
fof(f14,axiom,
( mtvisible(c_cyclistsmt)
=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
fof(f53,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).
fof(f62,conjecture,
? [X0] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(X0,c_pushingwithfingers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query62) ).
fof(f63,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(X0,c_pushingwithfingers) ),
inference(negated_conjecture,[status(cth)],[f62]) ).
fof(f83,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f84,plain,
! [X0,X1] :
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f85,plain,
! [X0,X1] :
( tptptypes_7_389(X0,X1)
| ~ tptptypes_8_390(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f86,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f14]) ).
fof(f109,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f110,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f109]) ).
fof(f119,plain,
! [X0] :
( ~ tptptypes_5_387(X0,c_pushingwithfingers)
& mtvisible(c_tptp_member3205_mt) ),
inference(ennf_transformation,[],[f63]) ).
fof(f126,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f128,plain,
! [X0,X1] :
( ~ tptptypes_7_389(X0,X1)
| tptptypes_6_388(X1,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f130,plain,
! [X0,X1] :
( ~ tptptypes_8_390(X0,X1)
| tptptypes_7_389(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f131,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f12]) ).
fof(f132,plain,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f13]) ).
fof(f133,plain,
( ~ mtvisible(c_cyclistsmt)
| tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
inference(cnf_transformation,[],[f86]) ).
fof(f153,plain,
! [X0,X1] :
( ~ mtvisible(X0)
| mtvisible(X1)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f162,plain,
mtvisible(c_tptp_member3205_mt),
inference(cnf_transformation,[],[f119]) ).
fof(f163,plain,
! [X0] : ~ tptptypes_5_387(X0,c_pushingwithfingers),
inference(cnf_transformation,[],[f119]) ).
fof(f165,definition,
( spl0_1
<=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f167,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f169,definition,
( spl0_2
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f171,plain,
( ~ mtvisible(c_cyclistsmt)
| spl0_2 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f172,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f133,f169,f165]) ).
fof(f173,plain,
! [X0] : ~ tptptypes_6_388(X0,c_pushingwithfingers),
inference(resolution,[],[f126,f163]) ).
fof(f177,plain,
! [X0] :
( mtvisible(X0)
| ~ genlmt(c_tptp_member3205_mt,X0) ),
inference(resolution,[],[f153,f162]) ).
fof(f183,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(c_tptp_member3205_mt,X0)
| ~ genlmt(X0,X1) ),
inference(resolution,[],[f177,f153]) ).
fof(f196,plain,
( ! [X0] :
( ~ genlmt(c_tptp_member3205_mt,X0)
| ~ genlmt(X0,c_cyclistsmt) )
| spl0_2 ),
inference(resolution,[],[f183,f171]) ).
fof(f205,plain,
( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
| spl0_2 ),
inference(resolution,[],[f196,f132]) ).
fof(f206,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f205,f131]) ).
fof(f207,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f206]) ).
fof(f210,plain,
( tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ spl0_1 ),
inference(resolution,[],[f167,f130]) ).
fof(f226,plain,
( tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers)
| ~ spl0_1 ),
inference(resolution,[],[f210,f128]) ).
fof(f227,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f226,f173]) ).
fof(f228,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f227]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f172]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f207]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f228]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f229,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR062+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.28 % Computer : n001.cluster.edu
% 0.13/0.28 % Model : x86_64 x86_64
% 0.13/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.28 % Memory : 8046.5625MB
% 0.13/0.28 % OS : Linux 6.8.0-71-generic
% 0.13/0.29 % CPULimit : 300
% 0.13/0.29 % WCLimit : 300
% 0.13/0.29 % DateTime : Mon Sep 28 22:27:49 UTC 2026
% 0.13/0.29 % CPUTime :
% 0.13/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.29/0.34 Running first-order model finding
% 0.29/0.34 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/0.40 % (819013)Will run a generic schedule for satisfiability detection.
% 0.29/0.40 % (819022)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2896969027:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.29/0.40 % (819022) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-819013-819022"...
% 0.29/0.40 % (819022)...printing done.
% 0.29/0.40 % (819019)% WARNING: option uhcvi not known.
% 0.29/0.40 % (819022)Refutation found. Thanks to Tanya!
% 0.29/0.40 % SZS status Theorem for theBenchmark
% 0.29/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/0.40 % (819022)------------------------------
% 0.29/0.40 % (819022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.40 % (819022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.40 % (819022)CaDiCaL version: 2.1.3
% 0.29/0.40 % (819022)Termination reason: Refutation
% 0.29/0.40 % (819022)Time elapsed: 0.004 s
% 0.29/0.40 % (819022)Peak memory usage: 12 MB
% 0.29/0.40 % (819022)Instructions burned: 4 (million)
% 0.29/0.40 % (819013)Success in time 0.045 s
% 0.29/0.40 % Vampire exiting
%------------------------------------------------------------------------------