%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG017-6 : 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 : n009.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 0.22s 0.59s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 42 ( 42 !; 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(f3,axiom,
! [X0] : multiply(additive_identity,X0) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_multiplicative_zero) ).
fof(f4,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(reorient_equations,[],[f3]) ).
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(additive_inverse(x),add(y,z)) != add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,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(f276,plain,
! [X0,X1] : multiply(additive_identity,X1) = add(multiply(X0,X1),multiply(additive_inverse(X0),X1)),
inference(superposition,[],[f13,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(f1189,plain,
! [X0,X1] : multiply(additive_inverse(X1),X0) = add(additive_inverse(multiply(X1,X0)),multiply(additive_identity,X0)),
inference(superposition,[],[f93,f276]) ).
fof(f1190,plain,
! [X0,X1] : multiply(additive_inverse(X1),X0) = add(additive_inverse(multiply(X1,X0)),additive_identity),
inference(forward_demodulation,[],[f1189,f4]) ).
fof(f1228,plain,
! [X0,X1] : multiply(additive_inverse(X1),X0) = additive_inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f1190,f2]) ).
fof(f2696,plain,
multiply(additive_inverse(x),add(y,z)) != add(additive_inverse(multiply(x,y)),multiply(additive_inverse(x),z)),
inference(superposition,[],[f20,f1228]) ).
fof(f2697,plain,
! [X0,X1] : multiply(additive_inverse(X0),X1) = multiply(X0,additive_inverse(X1)),
inference(superposition,[],[f984,f1228]) ).
fof(f2724,plain,
multiply(additive_inverse(x),add(y,z)) != add(multiply(x,additive_inverse(y)),multiply(additive_inverse(x),z)),
inference(forward_demodulation,[],[f2696,f984]) ).
fof(f2742,plain,
multiply(additive_inverse(x),add(y,z)) != add(multiply(additive_inverse(x),y),multiply(additive_inverse(x),z)),
inference(forward_demodulation,[],[f2724,f2697]) ).
fof(f2756,plain,
$false,
inference(forward_subsumption_resolution,[],[f2742,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG017-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.43 % Computer : n009.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 27 22:58:45 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.48 Running first-order model finding
% 0.15/0.48 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
% 0.22/0.59 % (2502997)Will run a generic schedule for satisfiability detection.
% 0.22/0.59 % (2503007)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2490926784:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.59 % (2503003)% WARNING: option uhcvi not known.
% 0.22/0.59 % (2503008)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=788727083:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.59 % (2503002)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2242791301_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.59 % (2503005)dis+10_1_sil=32000:sp=arity:random_seed=4143110063:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.59 % (2503004)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4289106066:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.59 % (2503003)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2843096463:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.59 % (2503006)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2024955928:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.59 % TRYING [1]
% 0.22/0.59 % TRYING [2]
% 0.22/0.59 % TRYING [3]
% 0.22/0.59 % TRYING [4]
% 0.22/0.59 % (2503007) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2502997-2503007"...
% 0.22/0.59 % (2503007)...printing done.
% 0.22/0.59 % (2503007)Refutation found. Thanks to Tanya!
% 0.22/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.59 % (2503007)------------------------------
% 0.22/0.59 % (2503007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.59 % (2503007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.59 % (2503007)CaDiCaL version: 2.1.3
% 0.22/0.59 % (2503007)Termination reason: Refutation
% 0.22/0.59 % (2503007)Time elapsed: 0.052 s
% 0.22/0.59 % (2503007)Peak memory usage: 12 MB
% 0.22/0.59 % (2503007)Instructions burned: 110 (million)
% 0.22/0.59 % (2502997)Success in time 0.094 s
% 0.22/0.59 % Vampire exiting
%------------------------------------------------------------------------------