%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV598-1 : 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 : n017.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 01:26:06 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.34s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 51 ( 20 unt; 7 def)
% Number of atoms : 99 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 88 ( 40 ~; 41 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f127,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
| X0 = X1
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_2) ).
fof(f613,axiom,
! [X2,X0,X1] :
( c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0)
| c_lessequals(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__leE_0) ).
fof(f1538,axiom,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1539,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f1540,axiom,
( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f1541,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Transcendental_Osin(v_x)
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
inference(reorient_equations,[],[f1540]) ).
fof(f1542,axiom,
( c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
| v_x != c_Transcendental_Opi ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
fof(f1543,plain,
( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != c_Transcendental_Ocos(v_x)
| c_Transcendental_Opi != v_x ),
inference(reorient_equations,[],[f1542]) ).
fof(f1544,axiom,
( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_04) ).
fof(f1545,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Transcendental_Osin(v_x)
| ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
inference(reorient_equations,[],[f1544]) ).
fof(f1546,negated_conjecture,
c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1547,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(v_x),
inference(reorient_equations,[],[f1546]) ).
fof(f1548,negated_conjecture,
c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1549,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_Transcendental_Ocos(v_x),
inference(reorient_equations,[],[f1548]) ).
fof(f1616,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).
fof(f1737,definition,
( spl0_1
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1741,definition,
( spl0_2
<=> c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1743,plain,
( ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| spl0_2 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1745,definition,
( spl0_3
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(v_x) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1748,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1545,f1745,f1741,f1737]) ).
fof(f1750,definition,
( spl0_4
<=> c_Transcendental_Opi = v_x ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1752,plain,
( c_Transcendental_Opi != v_x
| spl0_4 ),
inference(avatar_component_clause,[],[f1750]) ).
fof(f1754,definition,
( spl0_5
<=> c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_Transcendental_Ocos(v_x) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f1757,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1543,f1754,f1750]) ).
fof(f1759,definition,
( spl0_6
<=> c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1761,plain,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| spl0_6 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f1763,definition,
( spl0_7
<=> c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f1766,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1541,f1745,f1763,f1759]) ).
fof(f1767,plain,
spl0_1,
inference(avatar_split_clause,[],[f1539,f1737]) ).
fof(f1768,plain,
spl0_7,
inference(avatar_split_clause,[],[f1538,f1763]) ).
fof(f1792,plain,
spl0_3,
inference(avatar_split_clause,[],[f1547,f1745]) ).
fof(f1793,plain,
spl0_5,
inference(avatar_split_clause,[],[f1549,f1754]) ).
fof(f2128,plain,
( ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| spl0_2 ),
inference(resolution,[],[f613,f1743]) ).
fof(f2130,plain,
( c_lessequals(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f2128,f1616]) ).
fof(f2643,plain,
( c_Transcendental_Opi = v_x
| c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| spl0_2 ),
inference(resolution,[],[f127,f2130]) ).
fof(f2683,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| spl0_2
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f2643,f1752]) ).
fof(f2723,plain,
( $false
| spl0_2
| spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f2683,f1761]) ).
fof(f2724,plain,
( spl0_2
| spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f2723]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f1748]) ).
cnf(s2,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f1757]) ).
cnf(s3,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f1766]) ).
cnf(s4,plain,
spl0_1,
inference(sat_conversion,[],[f1767]) ).
cnf(s5,plain,
spl0_7,
inference(sat_conversion,[],[f1768]) ).
cnf(s10,plain,
spl0_3,
inference(sat_conversion,[],[f1792]) ).
cnf(s11,plain,
spl0_5,
inference(sat_conversion,[],[f1793]) ).
cnf(s23,plain,
( spl0_2
| spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f2724]) ).
cnf(s25,plain,
~ spl0_6,
inference(rat,[],[s3,s5,s10]) ).
cnf(s26,plain,
~ spl0_4,
inference(rat,[],[s2,s11]) ).
cnf(s27,plain,
spl0_2,
inference(rat,[],[s23,s25,s26]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s1,s10,s27,s4]) ).
fof(f2727,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV598-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n017.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 11:55:21 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.21/0.34 % (3496854)Will run a generic schedule for satisfiability detection.
% 0.21/0.34 % (3496865)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1669618833:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.34 % (3496860)% WARNING: option uhcvi not known.
% 0.21/0.34 % (3496860)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2109194406:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.34 % (3496859)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=280011918_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.34 % (3496861)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=265615311:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.34 % (3496862)dis+10_1_sil=32000:sp=arity:random_seed=2244389850:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.34 % (3496863)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=529159349:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.34 % (3496864)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=603328642:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.34 % (3496865)Instruction limit reached!
% 0.21/0.34 % (3496865)------------------------------
% 0.21/0.34 % (3496865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3496865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3496865)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3496865)Termination reason: Instruction limit
% 0.21/0.34 % (3496865)Termination phase: Saturation
% 0.21/0.34 % (3496865)Time elapsed: 0.051 s
% 0.21/0.34 % (3496865)Peak memory usage: 15 MB
% 0.21/0.34 % (3496865)Instructions burned: 161 (million)
% 0.21/0.34 % (3496862) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3496854-3496862"...
% 0.21/0.34 % (3496862)...printing done.
% 0.21/0.34 % (3496862)Refutation found. Thanks to Tanya!
% 0.21/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.34 % (3496862)------------------------------
% 0.21/0.34 % (3496862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3496862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3496862)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3496862)Termination reason: Refutation
% 0.21/0.34 % (3496862)Time elapsed: 0.045 s
% 0.21/0.34 % (3496862)Peak memory usage: 14 MB
% 0.21/0.34 % (3496862)Instructions burned: 72 (million)
% 0.21/0.34 % (3496854)Success in time 0.107 s
% 0.21/0.34 % Vampire exiting
%------------------------------------------------------------------------------