%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG001-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 12:35:39 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.62s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 27 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 29 ( 15 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',closure_of_multiplication) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X5,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity1) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X3,X2)
| ~ sum(X0,X1,X2)
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation1) ).
fof(f20,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_times_additive_id_is_additive_id) ).
fof(f42,plain,
! [X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = X1 ),
inference(resolution,[],[f18,f2]) ).
fof(f71,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X5)
| ~ sum(X3,X1,X4)
| ~ product(X0,X1,X2)
| sum(X5,X2,multiply(X0,X4)) ),
inference(resolution,[],[f12,f3]) ).
fof(f243,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),X4,multiply(X3,X2)) ),
inference(resolution,[],[f71,f3]) ).
fof(f985,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f243,f3]) ).
fof(f3623,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = multiply(X2,X1) ),
inference(resolution,[],[f985,f42]) ).
fof(f5581,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(resolution,[],[f3623,f2]) ).
fof(f5860,plain,
! [X0] : product(X0,additive_identity,additive_identity),
inference(superposition,[],[f3,f5581]) ).
fof(f5994,plain,
$false,
inference(backward_subsumption_resolution,[],[f20,f5860]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG001-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43 % Computer : n018.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 22:59:54 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.49 Running first-order model finding
% 0.16/0.49 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
% 0.22/0.62 % (2830919)Will run a generic schedule for satisfiability detection.
% 0.22/0.62 % (2830925)% WARNING: option uhcvi not known.
% 0.22/0.62 % (2830925)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4155747726:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.62 % (2830924)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3600021096_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.62 % TRYING [1]
% 0.22/0.62 % TRYING [2]
% 0.22/0.62 % TRYING [3]
% 0.22/0.62 % (2830927)dis+10_1_sil=32000:sp=arity:random_seed=3590383339:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.62 % (2830928)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3720797147:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.62 % (2830930)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3075052930:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.62 % (2830929)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1502612991:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.62 % (2830926)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3017417697:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.62 % TRYING [4]
% 0.22/0.62 % (2830925) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2830919-2830925"...
% 0.22/0.62 % (2830925)...printing done.
% 0.22/0.62 % (2830925)Refutation found. Thanks to Tanya!
% 0.22/0.62 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.62 % (2830925)------------------------------
% 0.22/0.62 % (2830925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.62 % (2830925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.62 % (2830925)CaDiCaL version: 2.1.3
% 0.22/0.62 % (2830925)Termination reason: Refutation
% 0.22/0.62 % (2830925)Time elapsed: 0.089 s
% 0.22/0.62 % (2830925)Peak memory usage: 13 MB
% 0.22/0.62 % (2830925)Instructions burned: 166 (million)
% 0.22/0.62 % (2830919)Success in time 0.114 s
% 0.22/0.62 % Vampire exiting
%------------------------------------------------------------------------------