%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG018-6 : 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 : n014.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 12:35:44 PM UTC 2026
% Result : Unsatisfiable 0.88s 0.70s
% Output : Refutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_additive_identity) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_additive_identity) ).
fof(f5,axiom,
! [X0] : multiply(X0,additive_identity) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_multiplicative_zero) ).
fof(f6,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(reorient_equations,[],[f5]) ).
fof(f9,axiom,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_additive_inverse) ).
fof(f10,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',additive_inverse_additive_inverse) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute1) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute2) ).
fof(f15,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',associativity_for_addition) ).
fof(f20,negated_conjecture,
multiply(add(x,y),additive_inverse(z)) != add(additive_inverse(multiply(x,z)),additive_inverse(multiply(y,z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f28,plain,
! [X0,X1] : add(add(X0,additive_inverse(X0)),X1) = X1,
inference(superposition,[],[f1,f10]) ).
fof(f30,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f28,f15]) ).
fof(f93,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(superposition,[],[f30,f11]) ).
fof(f157,plain,
! [X0,X1] : multiply(X0,additive_identity) = add(multiply(X0,X1),multiply(X0,additive_inverse(X1))),
inference(superposition,[],[f12,f10]) ).
fof(f948,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = add(additive_inverse(multiply(X0,X1)),multiply(X0,additive_identity)),
inference(superposition,[],[f93,f157]) ).
fof(f949,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = add(additive_inverse(multiply(X0,X1)),additive_identity),
inference(forward_demodulation,[],[f948,f6]) ).
fof(f984,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
inference(forward_demodulation,[],[f949,f2]) ).
fof(f2026,plain,
multiply(add(x,y),additive_inverse(z)) != add(multiply(x,additive_inverse(z)),additive_inverse(multiply(y,z))),
inference(superposition,[],[f20,f984]) ).
fof(f2055,plain,
multiply(add(x,y),additive_inverse(z)) != add(multiply(x,additive_inverse(z)),multiply(y,additive_inverse(z))),
inference(forward_demodulation,[],[f2026,f984]) ).
fof(f2071,plain,
$false,
inference(forward_subsumption_resolution,[],[f2055,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG018-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.45 % Computer : n014.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Sun Sep 27 22:58:31 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.51 Running first-order model finding
% 0.24/0.51 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
% 0.88/0.70 % (1269299)Will run a generic schedule for satisfiability detection.
% 0.88/0.70 % (1269307)dis+10_1_sil=32000:sp=arity:random_seed=625707777:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.88/0.70 % (1269305)% WARNING: option uhcvi not known.
% 0.88/0.70 % (1269305)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=278165078:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.88/0.70 % (1269304)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3054437301_2999 on theBenchmark for (2999ds/0Mi)
% 0.88/0.70 % (1269306)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2208341203:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.88/0.70 % TRYING [1]
% 0.88/0.70 % TRYING [2]
% 0.88/0.70 % TRYING [3]
% 0.88/0.70 % (1269308)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=186733400:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.88/0.70 % TRYING [4]
% 0.88/0.70 % (1269310)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4184847916:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.88/0.70 % (1269307)Instruction limit reached!
% 0.88/0.70 % (1269307)------------------------------
% 0.88/0.70 % (1269307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.70 % (1269307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.70 % (1269307)CaDiCaL version: 2.1.3
% 0.88/0.70 % (1269307)Termination reason: Instruction limit
% 0.88/0.70 % (1269307)Termination phase: Saturation
% 0.88/0.70 % (1269307)Time elapsed: 0.047 s
% 0.88/0.70 % (1269307)Peak memory usage: 12 MB
% 0.88/0.70 % (1269307)Instructions burned: 104 (million)
% 0.88/0.70 % (1269309)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3821100470:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.88/0.70 % (1269318)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=670286593:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.88/0.70 % TRYING [1]
% 0.88/0.70 % TRYING [2]
% 0.88/0.70 % TRYING [3]
% 0.88/0.70 % TRYING [4]
% 0.88/0.70 % TRYING [5]
% 0.88/0.70 % (1269309) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1269299-1269309"...
% 0.88/0.70 % TRYING [5]
% 0.88/0.70 % (1269309)...printing done.
% 0.88/0.70 % (1269309)Refutation found. Thanks to Tanya!
% 0.88/0.70 % SZS status Unsatisfiable for theBenchmark
% 0.88/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.88/0.70 % (1269309)------------------------------
% 0.88/0.70 % (1269309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.70 % (1269309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.70 % (1269309)CaDiCaL version: 2.1.3
% 0.88/0.70 % (1269309)Termination reason: Refutation
% 0.88/0.70 % (1269309)Time elapsed: 0.081 s
% 0.88/0.70 % (1269309)Peak memory usage: 11 MB
% 0.88/0.70 % (1269309)Instructions burned: 62 (million)
% 0.88/0.70 % (1269299)Success in time 0.168 s
% 0.88/0.70 % Vampire exiting
%------------------------------------------------------------------------------