%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG363-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 09:30:24 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.36s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 18 unt; 2 def)
% Number of atoms : 49 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 17 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f283,axiom,
c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp__eq__one__iff_1) ).
fof(f284,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(reorient_equations,[],[f283]) ).
fof(f584,axiom,
! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__add__one__gt__zero_0) ).
fof(f591,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__c_0) ).
fof(f613,axiom,
! [X0] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__abs__def_1) ).
fof(f743,axiom,
! [X2,X0,X1] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_lessequals(X1,X2,X0)
| ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
fof(f765,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f766,axiom,
! [X0] : c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(X0)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f767,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f792,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).
fof(f820,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
fof(f856,definition,
( spl0_1
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f858,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_1 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f860,definition,
( spl0_2
<=> c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f862,plain,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_2 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f863,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f767,f860,f856]) ).
fof(f885,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_1 ),
inference(forward_demodulation,[],[f858,f284]) ).
fof(f1290,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
inference(resolution,[],[f743,f820]) ).
fof(f1302,plain,
~ c_HOL_Oord__class_Oless(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f1290,f765]) ).
fof(f1323,plain,
v_r = c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),
inference(resolution,[],[f1302,f613]) ).
fof(f1536,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[],[f584,f1323]) ).
fof(f1537,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1536,f284]) ).
fof(f1562,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),
inference(resolution,[],[f591,f792]) ).
fof(f2236,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_1 ),
inference(superposition,[],[f885,f1562]) ).
fof(f2257,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f2236,f1537]) ).
fof(f2258,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f2257]) ).
fof(f2266,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f862,f766]) ).
fof(f2267,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f2266]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f863]) ).
cnf(s18,plain,
spl0_1,
inference(sat_conversion,[],[f2258]) ).
cnf(s19,plain,
spl0_2,
inference(sat_conversion,[],[f2267]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s1,s19,s18]) ).
fof(f2269,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG363-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n008.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 20:14:16 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.21/0.36 % (2584121)Will run a generic schedule for satisfiability detection.
% 0.21/0.36 % (2584126)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4157439307_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.36 % (2584127)% WARNING: option uhcvi not known.
% 0.21/0.36 % (2584127)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=478584756:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.36 % (2584128)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=168093477:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.36 % (2584129)dis+10_1_sil=32000:sp=arity:random_seed=3825641644:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.36 % (2584130)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3643451211:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.36 % (2584131)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=680370477:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.36 % (2584132)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2495067864:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.36 % TRYING [1]
% 0.21/0.36 % TRYING [2]
% 0.21/0.36 % (2584131) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2584121-2584131"...
% 0.21/0.36 % (2584131)...printing done.
% 0.21/0.36 % (2584131)Refutation found. Thanks to Tanya!
% 0.21/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.36 % (2584131)------------------------------
% 0.21/0.36 % (2584131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (2584131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (2584131)CaDiCaL version: 2.1.3
% 0.21/0.36 % (2584131)Termination reason: Refutation
% 0.21/0.36 % (2584131)Time elapsed: 0.048 s
% 0.21/0.36 % (2584131)Peak memory usage: 14 MB
% 0.21/0.36 % (2584131)Instructions burned: 74 (million)
% 0.21/0.36 % (2584121)Success in time 0.11 s
% 0.21/0.36 % Vampire exiting
%------------------------------------------------------------------------------