%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG002-1 : 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 : n001.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 0.29s 0.65s
% Output : Refutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 26 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
fof(f4,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',closure_of_addition) ).
fof(f5,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',left_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(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,
sum(a,b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_plus_b_is_d) ).
fof(f19,axiom,
sum(a,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_plus_c_is_d) ).
fof(f20,negated_conjecture,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_equals_c) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f16,f4]) ).
fof(f39,plain,
! [X2,X3,X0,X1] :
( ~ sum(X3,X0,additive_identity)
| ~ sum(X0,X1,X2)
| sum(X3,X2,X1) ),
inference(resolution,[],[f7,f1]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_inverse(X0),X2,X1) ),
inference(resolution,[],[f39,f5]) ).
fof(f384,plain,
sum(additive_inverse(a),d,b),
inference(resolution,[],[f142,f18]) ).
fof(f385,plain,
sum(additive_inverse(a),d,c),
inference(resolution,[],[f142,f19]) ).
fof(f420,plain,
b = add(additive_inverse(a),d),
inference(resolution,[],[f384,f30]) ).
fof(f463,plain,
c = add(additive_inverse(a),d),
inference(resolution,[],[f385,f30]) ).
fof(f1263,plain,
b = c,
inference(forward_demodulation,[],[f463,f420]) ).
fof(f1264,plain,
$false,
inference(forward_subsumption_resolution,[],[f1263,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.47 % Computer : n001.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 23:03:32 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.53 Running first-order model finding
% 0.25/0.53 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
% 0.29/0.65 % (4066275)Will run a generic schedule for satisfiability detection.
% 0.29/0.65 % (4066284)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3069282393:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.29/0.65 % (4066281)% WARNING: option uhcvi not known.
% 0.29/0.65 % (4066280)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1718704247_2999 on theBenchmark for (2999ds/0Mi)
% 0.29/0.65 % (4066283)dis+10_1_sil=32000:sp=arity:random_seed=1682287774:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.29/0.65 % (4066286)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2058564545:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.29/0.65 % (4066281)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=968028954:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.29/0.65 % (4066282)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1793335201:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.29/0.65 % (4066285)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1722284835:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.29/0.65 % TRYING [1]
% 0.29/0.65 % TRYING [2]
% 0.29/0.65 % TRYING [3]
% 0.29/0.65 % TRYING [4]
% 0.29/0.65 % (4066284)Instruction limit reached!
% 0.29/0.65 % (4066284)------------------------------
% 0.29/0.65 % (4066284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.65 % (4066284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.65 % (4066284)CaDiCaL version: 2.1.3
% 0.29/0.65 % (4066284)Termination reason: Instruction limit
% 0.29/0.65 % (4066284)Termination phase: Saturation
% 0.29/0.65 % (4066284)Time elapsed: 0.053 s
% 0.29/0.65 % (4066284)Peak memory usage: 11 MB
% 0.29/0.65 % (4066284)Instructions burned: 117 (million)
% 0.29/0.65 % (4066281) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4066275-4066281"...
% 0.29/0.65 % (4066281)...printing done.
% 0.29/0.65 % (4066281)Refutation found. Thanks to Tanya!
% 0.29/0.65 % SZS status Unsatisfiable for theBenchmark
% 0.29/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/0.65 % (4066281)------------------------------
% 0.29/0.65 % (4066281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.65 % (4066281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.65 % (4066281)CaDiCaL version: 2.1.3
% 0.29/0.65 % (4066281)Termination reason: Refutation
% 0.29/0.65 % (4066281)Time elapsed: 0.046 s
% 0.29/0.65 % (4066281)Peak memory usage: 11 MB
% 0.29/0.65 % (4066281)Instructions burned: 42 (million)
% 0.29/0.65 % (4066275)Success in time 0.104 s
% 0.29/0.65 % Vampire exiting
%------------------------------------------------------------------------------