%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR004+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 09:44:18 AM UTC 2026
% Result : Theorem 0.10s 0.17s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 49 ( 16 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 55 ( 22 ~; 19 |; 13 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1] :
( happens(X0,X1)
<=> ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
fof(f55,axiom,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_3) ).
fof(f56,axiom,
holdsAt(filling,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_3) ).
fof(f57,conjecture,
happens(overflow,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',overflow_3) ).
fof(f58,negated_conjecture,
~ happens(overflow,n3),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f60,plain,
~ happens(overflow,n3),
inference(flattening,[],[f58]) ).
fof(f110,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ( ( tapOn != X0
| n0 != X1 )
& ( ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| overflow != X0 ) ) )
& ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow )
| ~ happens(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f111,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ( ( tapOn != X0
| n0 != X1 )
& ( ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| overflow != X0 ) ) )
& ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow )
| ~ happens(X0,X1) ) ),
inference(flattening,[],[f110]) ).
fof(f175,plain,
! [X0,X1] :
( happens(X0,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| overflow != X0 ),
inference(cnf_transformation,[],[f111]) ).
fof(f229,plain,
holdsAt(waterLevel(n3),n3),
inference(cnf_transformation,[],[f55]) ).
fof(f230,plain,
holdsAt(filling,n3),
inference(cnf_transformation,[],[f56]) ).
fof(f231,plain,
~ happens(overflow,n3),
inference(cnf_transformation,[],[f60]) ).
fof(f248,plain,
! [X1] :
( ~ holdsAt(waterLevel(n3),X1)
| happens(overflow,X1)
| ~ holdsAt(filling,X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f420,plain,
( happens(overflow,n3)
| ~ holdsAt(filling,n3) ),
inference(resolution,[],[f248,f229]) ).
fof(f421,plain,
~ holdsAt(filling,n3),
inference(forward_subsumption_resolution,[],[f420,f231]) ).
fof(f422,plain,
$false,
inference(forward_subsumption_resolution,[],[f421,f230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR004+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.12 % CPULimit : 300
% 0.00/0.12 % WCLimit : 300
% 0.00/0.12 % DateTime : Mon Sep 28 22:04:49 UTC 2026
% 0.00/0.12 % CPUTime :
% 0.00/0.12 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.14 Running first-order model finding
% 0.10/0.14 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
% 0.10/0.17 % (3839518)Will run a generic schedule for satisfiability detection.
% 0.10/0.17 % (3839525)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2455275400_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.17 % (3839526)% WARNING: option uhcvi not known.
% 0.10/0.17 % Detected minimum model sizes of [3]
% 0.10/0.17 % Detected maximum model sizes of [max]
% 0.10/0.17 % TRYING [3]
% 0.10/0.17 % (3839529)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2825801612:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.17 % (3839528)dis+10_1_sil=32000:sp=arity:random_seed=2132013663:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.17 % (3839527)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4228084334:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.17 % (3839531)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1440197234:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.17 % (3839530)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=139916415:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.17 % (3839526)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=303855103:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.17 % TRYING [4]
% 0.10/0.17 % (3839528) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3839518-3839528"...
% 0.10/0.17 % (3839526) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3839518-3839526"...
% 0.10/0.17 % (3839528)...printing done.
% 0.10/0.17 % (3839529) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3839518-3839529"...
% 0.10/0.17 % (3839526)...printing done.
% 0.10/0.17 % (3839528)Refutation found. Thanks to Tanya!
% 0.10/0.17 % SZS status Theorem for theBenchmark
% 0.10/0.17 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.17 % (3839528)------------------------------
% 0.10/0.17 % (3839528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.17 % (3839528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.17 % (3839528)CaDiCaL version: 2.1.3
% 0.10/0.17 % (3839528)Termination reason: Refutation
% 0.10/0.17 % (3839528)Time elapsed: 0.007 s
% 0.10/0.17 % (3839528)Peak memory usage: 12 MB
% 0.10/0.17 % (3839528)Instructions burned: 11 (million)
% 0.10/0.17 % (3839518)Success in time 0.028 s
% 0.10/0.17 % Vampire exiting
%------------------------------------------------------------------------------