TSTP Solution File: ALG365-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : ALG365-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:43:04 EDT 2023
% Result : Unsatisfiable 24.77s 3.50s
% Output : Proof 24.77s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG365-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.11 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.10/0.31 % Computer : n004.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 28 03:55:52 EDT 2023
% 0.10/0.31 % CPUTime :
% 24.77/3.49 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 24.77/3.50
% 24.77/3.50 % SZS status Unsatisfiable
% 24.77/3.50
% 24.77/3.50 % SZS output start Proof
% 24.77/3.50 Take the following subset of the input axioms:
% 24.77/3.50 fof(cls_CHAINED_0, axiom, c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm, c_COMBB(v_s, c_COMBB(v_f____, v_ga____, tc_nat, tc_nat, tc_nat), tc_nat, tc_Complex_Ocomplex, tc_nat), tc_Complex_Ocomplex, tc_RealDef_Oreal, tc_nat), v_sko__CHAINED__1(v_f____, v_ga____, v_s), tc_RealDef_Oreal)).
% 24.77/3.50 fof(cls_conjecture_0, negated_conjecture, ~v_thesis____).
% 24.77/3.50 fof(cls_conjecture_1, negated_conjecture, ![V_x]: (v_thesis____ | ~c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm, c_COMBB(v_s, c_COMBB(v_f____, v_ga____, tc_nat, tc_nat, tc_nat), tc_nat, tc_Complex_Ocomplex, tc_nat), tc_Complex_Ocomplex, tc_RealDef_Oreal, tc_nat), V_x, tc_RealDef_Oreal))).
% 24.77/3.50
% 24.77/3.50 Now clausify the problem and encode Horn clauses using encoding 3 of
% 24.77/3.50 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 24.77/3.50 We repeatedly replace C & s=t => u=v by the two clauses:
% 24.77/3.50 fresh(y, y, x1...xn) = u
% 24.77/3.50 C => fresh(s, t, x1...xn) = v
% 24.77/3.50 where fresh is a fresh function symbol and x1..xn are the free
% 24.77/3.50 variables of u and v.
% 24.77/3.50 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 24.77/3.50 input problem has no model of domain size 1).
% 24.77/3.50
% 24.77/3.50 The encoding turns the above axioms into the following unit equations and goals:
% 24.77/3.50
% 24.77/3.50 Axiom 1 (cls_conjecture_1): fresh203(X, X) = true2.
% 24.77/3.50 Axiom 2 (cls_conjecture_1): fresh203(c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm, c_COMBB(v_s, c_COMBB(v_f____, v_ga____, tc_nat, tc_nat, tc_nat), tc_nat, tc_Complex_Ocomplex, tc_nat), tc_Complex_Ocomplex, tc_RealDef_Oreal, tc_nat), X, tc_RealDef_Oreal), true2) = v_thesis____.
% 24.77/3.50 Axiom 3 (cls_CHAINED_0): c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm, c_COMBB(v_s, c_COMBB(v_f____, v_ga____, tc_nat, tc_nat, tc_nat), tc_nat, tc_Complex_Ocomplex, tc_nat), tc_Complex_Ocomplex, tc_RealDef_Oreal, tc_nat), v_sko__CHAINED__1(v_f____, v_ga____, v_s), tc_RealDef_Oreal) = true2.
% 24.77/3.50
% 24.77/3.50 Goal 1 (cls_conjecture_0): v_thesis____ = true2.
% 24.77/3.50 Proof:
% 24.77/3.50 v_thesis____
% 24.77/3.50 = { by axiom 2 (cls_conjecture_1) R->L }
% 24.77/3.50 fresh203(c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm, c_COMBB(v_s, c_COMBB(v_f____, v_ga____, tc_nat, tc_nat, tc_nat), tc_nat, tc_Complex_Ocomplex, tc_nat), tc_Complex_Ocomplex, tc_RealDef_Oreal, tc_nat), v_sko__CHAINED__1(v_f____, v_ga____, v_s), tc_RealDef_Oreal), true2)
% 24.77/3.50 = { by axiom 3 (cls_CHAINED_0) }
% 24.77/3.50 fresh203(true2, true2)
% 24.77/3.50 = { by axiom 1 (cls_conjecture_1) }
% 24.77/3.50 true2
% 24.77/3.50 % SZS output end Proof
% 24.77/3.50
% 24.77/3.50 RESULT: Unsatisfiable (the axioms are contradictory).
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