%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM303+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:18:17 PM UTC 2026
% Result : Theorem 0.87s 0.62s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 49 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 17 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn21) ).
fof(f32,axiom,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn31) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).
fof(f276,axiom,
! [X0,X1,X2,X3] :
( rdn_positive_less(X1,X3)
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_high) ).
fof(f281,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X0,rdn_pos(X2))
& rdn_translate(X1,rdn_pos(X3))
& rdn_positive_less(X2,X3) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
fof(f284,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( ~ less(X1,X0)
& X1 != X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_property) ).
fof(f402,conjecture,
n31 != n21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n31_not_n12) ).
fof(f403,negated_conjecture,
~ ( n31 != n21 ),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f404,plain,
n21 = n31,
inference(flattening,[],[f403]) ).
fof(f408,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(ennf_transformation,[],[f276]) ).
fof(f414,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(ennf_transformation,[],[f281]) ).
fof(f415,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(flattening,[],[f414]) ).
fof(f472,plain,
rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
inference(cnf_transformation,[],[f22]) ).
fof(f482,plain,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
inference(cnf_transformation,[],[f32]) ).
fof(f718,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f726,plain,
! [X2,X3,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(cnf_transformation,[],[f408]) ).
fof(f731,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X0,rdn_pos(X2))
| less(X0,X1) ),
inference(cnf_transformation,[],[f415]) ).
fof(f734,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f284]) ).
fof(f855,plain,
n21 = n31,
inference(cnf_transformation,[],[f404]) ).
fof(f856,plain,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
inference(definition_unfolding,[],[f472,f855]) ).
fof(f857,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f734]) ).
fof(f2546,plain,
! [X0,X1] :
( ~ rdn_positive_less(X0,rdn(rdnn(n1),rdnn(n3)))
| ~ rdn_translate(X1,rdn_pos(X0))
| less(X1,n31) ),
inference(resolution,[],[f731,f482]) ).
fof(f2702,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
| less(X0,n31)
| ~ rdn_positive_less(X2,rdnn(n3)) ),
inference(resolution,[],[f2546,f726]) ).
fof(f3656,plain,
( less(n31,n31)
| ~ rdn_positive_less(rdnn(n2),rdnn(n3)) ),
inference(resolution,[],[f2702,f856]) ).
fof(f3891,plain,
~ rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(forward_subsumption_resolution,[],[f3656,f857]) ).
fof(f3902,plain,
$false,
inference(forward_subsumption_resolution,[],[f3891,f718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM303+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 19:31:19 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.87/0.62 % (877529)Will run a generic schedule for satisfiability detection.
% 0.87/0.62 % (877538)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=691061645:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.87/0.62 % (877535)% WARNING: option uhcvi not known.
% 0.87/0.62 % (877534)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2581151641_2999 on theBenchmark for (2999ds/0Mi)
% 0.87/0.62 % (877535)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1499100026:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.87/0.62 % (877536)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4137776316:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.87/0.62 % (877537)dis+10_1_sil=32000:sp=arity:random_seed=4104299880:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.87/0.62 % (877539)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1282287837:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.87/0.62 % (877540)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=505886721:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.87/0.62 % (877538)Instruction limit reached!
% 0.87/0.62 % (877538)------------------------------
% 0.87/0.62 % (877538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.62 % (877538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.62 % (877538)CaDiCaL version: 2.1.3
% 0.87/0.62 % (877538)Termination reason: Instruction limit
% 0.87/0.62 % (877538)Termination phase: Saturation
% 0.87/0.62 % (877538)Time elapsed: 0.034 s
% 0.87/0.62 % (877538)Peak memory usage: 13 MB
% 0.87/0.62 % (877538)Instructions burned: 119 (million)
% 0.87/0.62 % TRYING [1]
% 0.87/0.62 % TRYING [2]
% 0.87/0.62 % (877548)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2385969411:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.87/0.62 % (877537)Instruction limit reached!
% 0.87/0.62 % (877537)------------------------------
% 0.87/0.62 % (877537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.62 % (877537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.62 % (877537)CaDiCaL version: 2.1.3
% 0.87/0.62 % (877537)Termination reason: Instruction limit
% 0.87/0.62 % (877537)Termination phase: Saturation
% 0.87/0.62 % (877537)Time elapsed: 0.048 s
% 0.87/0.62 % (877537)Peak memory usage: 13 MB
% 0.87/0.62 % (877537)Instructions burned: 104 (million)
% 0.87/0.62 % TRYING [3]
% 0.87/0.62 % TRYING [1]
% 0.87/0.62 % TRYING [2]
% 0.87/0.62 % (877539)Instruction limit reached!
% 0.87/0.62 % (877539)------------------------------
% 0.87/0.62 % (877539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.62 % (877539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.62 % (877539)CaDiCaL version: 2.1.3
% 0.87/0.62 % (877539)Termination reason: Instruction limit
% 0.87/0.62 % (877539)Termination phase: Saturation
% 0.87/0.62 % (877539)Time elapsed: 0.062 s
% 0.87/0.62 % (877539)Peak memory usage: 14 MB
% 0.87/0.62 % (877539)Instructions burned: 132 (million)
% 0.87/0.62 % TRYING [3]
% 0.87/0.62 % (877550)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=638417891:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.87/0.62 % (877540)Instruction limit reached!
% 0.87/0.62 % (877540)------------------------------
% 0.87/0.62 % (877540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.62 % (877540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.62 % (877540)CaDiCaL version: 2.1.3
% 0.87/0.62 % (877540)Termination reason: Instruction limit
% 0.87/0.62 % (877540)Termination phase: Saturation
% 0.87/0.62 % (877540)Time elapsed: 0.076 s
% 0.87/0.62 % (877540)Peak memory usage: 14 MB
% 0.87/0.62 % (877540)Instructions burned: 160 (million)
% 0.87/0.62 % (877551)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3178300333:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.87/0.62 % (877553)ott-21_1_sil=16000:fs=off:random_seed=3262004263:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.87/0.62 % TRYING [4]
% 0.87/0.62 % TRYING [4]
% 0.87/0.62 % (877550)Instruction limit reached!
% 0.87/0.62 % (877550)------------------------------
% 0.87/0.62 % (877550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.62 % (877550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.62 % (877550)CaDiCaL version: 2.1.3
% 0.87/0.62 % (877550)Termination reason: Instruction limit
% 0.87/0.62 % (877550)Termination phase: Saturation
% 0.87/0.62 % (877550)Time elapsed: 0.065 s
% 0.87/0.62 % (877550)Peak memory usage: 14 MB
% 0.87/0.62 % (877550)Instructions burned: 131 (million)
% 0.87/0.62 % (877551) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-877529-877551"...
% 0.87/0.62 % (877551)...printing done.
% 0.87/0.62 % (877551)Refutation found. Thanks to Tanya!
% 0.87/0.62 % SZS status Theorem for theBenchmark
% 0.87/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 0.87/0.62 % (877551)------------------------------
% 0.87/0.62 % (877551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.62 % (877551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.62 % (877551)CaDiCaL version: 2.1.3
% 0.87/0.62 % (877551)Termination reason: Refutation
% 0.87/0.62 % (877551)Time elapsed: 0.060 s
% 0.87/0.62 % (877551)Peak memory usage: 15 MB
% 0.87/0.62 % (877551)Instructions burned: 115 (million)
% 0.87/0.62 % (877529)Success in time 0.195 s
% 0.87/0.62 % Vampire exiting
%------------------------------------------------------------------------------