%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG038-1 : 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 12:35:49 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 42 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 44 ( 23 ~; 21 |; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',right_inverse) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,X3,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_addition1) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X5,X1,X6)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity3) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',addition_is_well_defined) ).
fof(f18,axiom,
! [X0,X1] :
( X0 != additive_identity
| product(X0,h(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',some_property) ).
fof(f19,plain,
! [X0,X1] :
( additive_identity != X0
| product(X0,h(X0,X1),X1) ),
inference(reorient_equations,[],[f18]) ).
fof(f21,negated_conjecture,
a != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_additive_identity) ).
fof(f22,plain,
additive_identity != a,
inference(reorient_equations,[],[f21]) ).
fof(f25,plain,
! [X1] : product(additive_identity,h(additive_identity,X1),X1),
inference(equality_resolution,[],[f19]) ).
fof(f32,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f16,f2]) ).
fof(f42,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| ~ sum(X3,X0,X1)
| sum(X3,X2,additive_identity) ),
inference(resolution,[],[f7,f6]) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,h(additive_identity,X1),X4)
| ~ sum(X3,X0,additive_identity)
| ~ product(X0,h(additive_identity,X1),X2)
| sum(X4,X2,X1) ),
inference(resolution,[],[f14,f25]) ).
fof(f136,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(X0,additive_identity,additive_identity) ),
inference(resolution,[],[f42,f6]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ product(X0,h(additive_identity,X1),X2)
| ~ sum(additive_identity,X0,additive_identity)
| sum(X1,X2,X1) ),
inference(resolution,[],[f66,f25]) ).
fof(f997,plain,
! [X0] :
( ~ sum(additive_identity,additive_identity,additive_identity)
| sum(X0,X0,X0) ),
inference(resolution,[],[f201,f25]) ).
fof(f999,plain,
! [X0] : sum(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f997,f1]) ).
fof(f1006,plain,
! [X0] : sum(X0,additive_identity,additive_identity),
inference(resolution,[],[f999,f136]) ).
fof(f1074,plain,
! [X0] : additive_identity = X0,
inference(resolution,[],[f1006,f32]) ).
fof(f1133,plain,
$false,
inference(backward_subsumption_resolution,[],[f22,f1074]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG038-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 23:01:01 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.20/0.49 % (1272700)Will run a generic schedule for satisfiability detection.
% 0.20/0.49 % (1272708)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1404911841:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.49 % (1272707)% WARNING: option uhcvi not known.
% 0.20/0.49 % (1272710)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3809815396:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.49 % (1272709)dis+10_1_sil=32000:sp=arity:random_seed=3865445706:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.49 % (1272706)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1793484531_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.49 % (1272707)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3559420605:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.49 % (1272711)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2710854511:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.49 % (1272712)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3752380102:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.49 % TRYING [1]
% 0.20/0.49 % TRYING [2]
% 0.20/0.49 % TRYING [3]
% 0.20/0.49 % TRYING [4]
% 0.20/0.49 % (1272707) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1272700-1272707"...
% 0.20/0.49 % (1272707)...printing done.
% 0.20/0.49 % (1272707)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (1272707)------------------------------
% 0.20/0.49 % (1272707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.49 % (1272707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.49 % (1272707)CaDiCaL version: 2.1.3
% 0.20/0.49 % (1272707)Termination reason: Refutation
% 0.20/0.49 % (1272707)Time elapsed: 0.027 s
% 0.20/0.49 % (1272707)Peak memory usage: 12 MB
% 0.20/0.49 % (1272707)Instructions burned: 39 (million)
% 0.20/0.49 % (1272700)Success in time 0.061 s
% 0.20/0.49 % Vampire exiting
%------------------------------------------------------------------------------