%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : LCL669+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n002.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 : Mon Sep 7 12:52:56 PM UTC 2026
% Result : CounterSatisfiable 0.11s 0.45s
% Output : FiniteModel 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL669+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.07/0.34 % Computer : n002.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 4 18:54:35 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Paradox, version 4.0, 2010-06-29.
% 0.07/0.34 +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.07/0.35 +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.45 +++ BEGIN MODEL
% 0.11/0.45 SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.45 % domain size is 2
% 0.11/0.45 fof(domain, fi_domain,
% 0.11/0.45 (![X] : (X = "1" | X = "2"))
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(p1, fi_predicates,
% 0.11/0.45 ( (p1("1") <=> $true)
% 0.11/0.45 & (p1("2") <=> $false)
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(p10, fi_predicates,
% 0.11/0.45 ( ![X1] : (p10(X1) <=> $true)
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(p2, fi_predicates,
% 0.11/0.45 ( (p2("1") <=> $false)
% 0.11/0.45 & (p2("2") <=> $true)
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(p3, fi_predicates,
% 0.11/0.45 ( (p3("1") <=> $true)
% 0.11/0.45 & (p3("2") <=> $false)
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(p4, fi_predicates,
% 0.11/0.45 ( (p4("1") <=> $false)
% 0.11/0.45 & (p4("2") <=> $true)
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(p5, fi_predicates,
% 0.11/0.45 ( ![X1] : (p5(X1) <=> $false)
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(p6, fi_predicates,
% 0.11/0.45 ( ![X1] : (p6(X1) <=> $false)
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(p8, fi_predicates,
% 0.11/0.45 ( ![X1] : (p8(X1) <=> $true)
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(r1, fi_predicates,
% 0.11/0.45 ( (r1("1","1") <=> $true)
% 0.11/0.45 & (r1("1","2") <=> $true)
% 0.11/0.45 & (r1("2","1") <=> $true)
% 0.11/0.45 & (r1("2","2") <=> $true)
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK10_main_Y!1, fi_functors,
% 0.11/0.45 ( (sK10_main_Y!1 = "1")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK11_main_Y, fi_functors,
% 0.11/0.45 ( (sK11_main_Y = "2")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK12_main_X, fi_functors,
% 0.11/0.45 ( (sK12_main_X = "2")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK13_main_Y!0, fi_functors,
% 0.11/0.45 ( (sK13_main_Y!0 = "1")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK14_main_X!0, fi_functors,
% 0.11/0.45 ( (sK14_main_X!0 = "1")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK15_main_Y!1, fi_functors,
% 0.11/0.45 ( (sK15_main_Y!1 = "1")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK1_main_X, fi_functors,
% 0.11/0.45 ( (sK1_main_X = "2")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK2_main_X!0, fi_functors,
% 0.11/0.45 ( (sK2_main_X!0("1") = "2")
% 0.11/0.45 & (sK2_main_X!0("2") = "2")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK3_main_Y!0, fi_functors,
% 0.11/0.45 ( (sK3_main_Y!0("1") = "1")
% 0.11/0.45 & (sK3_main_Y!0("2") = "1")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK4_main_X, fi_functors,
% 0.11/0.45 ( (sK4_main_X("1") = "1")
% 0.11/0.45 & (sK4_main_X("2") = "2")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK5_main_Y, fi_functors,
% 0.11/0.45 ( (sK5_main_Y = "2")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK6_main_Y, fi_functors,
% 0.11/0.45 ( (sK6_main_Y = "2")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK7_main_X, fi_functors,
% 0.11/0.45 ( (sK7_main_X = "1")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK8_main_Y!0, fi_functors,
% 0.11/0.45 ( (sK8_main_Y!0 = "1")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45
% 0.11/0.45 fof(sK9_main_X!0, fi_functors,
% 0.11/0.45 ( (sK9_main_X!0 = "1")
% 0.11/0.45 )
% 0.11/0.45 ).
% 0.11/0.45 SZS output end FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.45 +++ END MODEL
% 0.11/0.45 +++ RESULT: CounterSatisfiable
% 0.11/0.45 SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------