%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO084+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 09:53:32 AM UTC 2026
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 55 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 16 ~; 14 |; 10 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 34 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(f2,axiom,
! [X0,X1,X2] :
( X0 = sum(X1,X2)
<=> ! [X3] :
( incident_c(X3,X0)
<=> ( incident_c(X3,X1)
| incident_c(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
fof(f17,conjecture,
! [X0,X1,X2,X3] :
( ( part_of(X0,X2)
& part_of(X1,X2)
& meet(X3,X0,X1) )
=> part_of(sum(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_2) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( part_of(X0,X2)
& part_of(X1,X2)
& meet(X3,X0,X1) )
=> part_of(sum(X0,X1),X2) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f21,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f40,plain,
? [X0,X1,X2,X3] :
( ~ part_of(sum(X0,X1),X2)
& part_of(X0,X2)
& part_of(X1,X2)
& meet(X3,X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f41,plain,
? [X0,X1,X2,X3] :
( ~ part_of(sum(X0,X1),X2)
& part_of(X0,X2)
& part_of(X1,X2)
& meet(X3,X0,X1) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ part_of(X1,X0)
| incident_c(X2,X0)
| ~ incident_c(X2,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f43,plain,
! [X0,X1] :
( part_of(X1,X0)
| incident_c(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f44,plain,
! [X0,X1] :
( part_of(X1,X0)
| ~ incident_c(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( incident_c(X3,X2)
| incident_c(X3,X1)
| ~ incident_c(X3,X0)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
part_of(sK14,sK15),
inference(cnf_transformation,[],[f41]) ).
fof(f85,plain,
part_of(sK13,sK15),
inference(cnf_transformation,[],[f41]) ).
fof(f86,plain,
~ part_of(sum(sK13,sK14),sK15),
inference(cnf_transformation,[],[f41]) ).
fof(f89,plain,
! [X2,X3,X1] :
( ~ incident_c(X3,sum(X1,X2))
| incident_c(X3,X1)
| incident_c(X3,X2) ),
inference(equality_resolution,[],[f48]) ).
fof(f95,plain,
incident_c(sK0(sK15,sum(sK13,sK14)),sum(sK13,sK14)),
inference(resolution,[],[f43,f86]) ).
fof(f96,plain,
~ incident_c(sK0(sK15,sum(sK13,sK14)),sK15),
inference(resolution,[],[f44,f86]) ).
fof(f100,plain,
! [X0] :
( incident_c(X0,sK15)
| ~ incident_c(X0,sK14) ),
inference(resolution,[],[f42,f84]) ).
fof(f101,plain,
! [X0] :
( incident_c(X0,sK15)
| ~ incident_c(X0,sK13) ),
inference(resolution,[],[f42,f85]) ).
fof(f104,plain,
~ incident_c(sK0(sK15,sum(sK13,sK14)),sK14),
inference(resolution,[],[f100,f96]) ).
fof(f107,plain,
~ incident_c(sK0(sK15,sum(sK13,sK14)),sK13),
inference(resolution,[],[f101,f96]) ).
fof(f126,plain,
( incident_c(sK0(sK15,sum(sK13,sK14)),sK13)
| incident_c(sK0(sK15,sum(sK13,sK14)),sK14) ),
inference(resolution,[],[f89,f95]) ).
fof(f128,plain,
incident_c(sK0(sK15,sum(sK13,sK14)),sK14),
inference(forward_subsumption_resolution,[],[f126,f107]) ).
fof(f129,plain,
$false,
inference(forward_subsumption_resolution,[],[f128,f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO084+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 % Computer : n010.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 06:53:46 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.47 Running first-order model finding
% 0.13/0.47 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
% 0.19/0.53 % (590561)Will run a generic schedule for satisfiability detection.
% 0.19/0.53 % (590567)% WARNING: option uhcvi not known.
% 0.19/0.53 % (590567)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=983365739:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.53 % (590566)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1026482808_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.53 % TRYING [1]
% 0.19/0.53 % TRYING [2]
% 0.19/0.53 % TRYING [3]
% 0.19/0.53 % TRYING [4]
% 0.19/0.53 % (590569)dis+10_1_sil=32000:sp=arity:random_seed=2264779382:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.53 % (590570)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=961174422:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.53 % (590568)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3042970980:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.53 % (590571)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3193358011:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.53 % (590572)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3285233943:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.53 % (590570) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-590561-590570"...
% 0.19/0.53 % (590570)...printing done.
% 0.19/0.53 % (590570)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (590570)------------------------------
% 0.19/0.53 % (590570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.53 % (590570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.53 % (590570)CaDiCaL version: 2.1.3
% 0.19/0.53 % (590570)Termination reason: Refutation
% 0.19/0.53 % (590570)Time elapsed: 0.007 s
% 0.19/0.53 % (590570)Peak memory usage: 12 MB
% 0.19/0.53 % (590570)Instructions burned: 5 (million)
% 0.19/0.53 % (590561)Success in time 0.046 s
% 0.19/0.53 % Vampire exiting
%------------------------------------------------------------------------------