TSTP Solution File: SYN415+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n014.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 : 600s
% DateTime : Thu Jul 21 11:19:01 EDT 2022
% Result : Theorem 5.64s 5.96s
% Output : Refutation 5.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 04:22:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 5.64/5.96 ============================== Prover9 ===============================
% 5.64/5.96 Prover9 (32) version 2009-11A, November 2009.
% 5.64/5.96 Process 14178 was started by sandbox on n014.cluster.edu,
% 5.64/5.96 Tue Jul 12 04:22:34 2022
% 5.64/5.96 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_14025_n014.cluster.edu".
% 5.64/5.96 ============================== end of head ===========================
% 5.64/5.96
% 5.64/5.96 ============================== INPUT =================================
% 5.64/5.96
% 5.64/5.96 % Reading from file /tmp/Prover9_14025_n014.cluster.edu
% 5.64/5.96
% 5.64/5.96 set(prolog_style_variables).
% 5.64/5.96 set(auto2).
% 5.64/5.96 % set(auto2) -> set(auto).
% 5.64/5.96 % set(auto) -> set(auto_inference).
% 5.64/5.96 % set(auto) -> set(auto_setup).
% 5.64/5.96 % set(auto_setup) -> set(predicate_elim).
% 5.64/5.96 % set(auto_setup) -> assign(eq_defs, unfold).
% 5.64/5.96 % set(auto) -> set(auto_limits).
% 5.64/5.96 % set(auto_limits) -> assign(max_weight, "100.000").
% 5.64/5.96 % set(auto_limits) -> assign(sos_limit, 20000).
% 5.64/5.96 % set(auto) -> set(auto_denials).
% 5.64/5.96 % set(auto) -> set(auto_process).
% 5.64/5.96 % set(auto2) -> assign(new_constants, 1).
% 5.64/5.96 % set(auto2) -> assign(fold_denial_max, 3).
% 5.64/5.96 % set(auto2) -> assign(max_weight, "200.000").
% 5.64/5.96 % set(auto2) -> assign(max_hours, 1).
% 5.64/5.96 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 5.64/5.96 % set(auto2) -> assign(max_seconds, 0).
% 5.64/5.96 % set(auto2) -> assign(max_minutes, 5).
% 5.64/5.96 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 5.64/5.96 % set(auto2) -> set(sort_initial_sos).
% 5.64/5.96 % set(auto2) -> assign(sos_limit, -1).
% 5.64/5.96 % set(auto2) -> assign(lrs_ticks, 3000).
% 5.64/5.96 % set(auto2) -> assign(max_megs, 400).
% 5.64/5.96 % set(auto2) -> assign(stats, some).
% 5.64/5.96 % set(auto2) -> clear(echo_input).
% 5.64/5.96 % set(auto2) -> set(quiet).
% 5.64/5.96 % set(auto2) -> clear(print_initial_clauses).
% 5.64/5.96 % set(auto2) -> clear(print_given).
% 5.64/5.96 assign(lrs_ticks,-1).
% 5.64/5.96 assign(sos_limit,10000).
% 5.64/5.96 assign(order,kbo).
% 5.64/5.96 set(lex_order_vars).
% 5.64/5.96 clear(print_given).
% 5.64/5.96
% 5.64/5.96 % formulas(sos). % not echoed (1 formulas)
% 5.64/5.96
% 5.64/5.96 ============================== end of input ==========================
% 5.64/5.96
% 5.64/5.96 % From the command line: assign(max_seconds, 300).
% 5.64/5.96
% 5.64/5.96 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 5.64/5.96
% 5.64/5.96 % Formulas that are not ordinary clauses:
% 5.64/5.96 1 -((exists X f(X)) & (all Y all Z (f(Y) & f(Z) -> Y = Z)) <-> (exists U (f(U) & (all V (f(V) -> U = V))))) # label(kalish317) # label(negated_conjecture) # label(non_clause). [assumption].
% 5.64/5.96
% 5.64/5.96 ============================== end of process non-clausal formulas ===
% 5.64/5.96
% 5.64/5.96 ============================== PROCESS INITIAL CLAUSES ===============
% 5.64/5.96
% 5.64/5.96 ============================== PREDICATE ELIMINATION =================
% 5.64/5.96
% 5.64/5.96 ============================== end predicate elimination =============
% 5.64/5.96
% 5.64/5.96 Auto_denials: (non-Horn, no changes).
% 5.64/5.96
% 5.64/5.96 Term ordering decisions:
% 5.64/5.96
% 5.64/5.96 % Assigning unary symbol f1 kb_weight 0 and highest precedence (7).
% 5.64/5.96 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. f1=0.
% 5.64/5.96
% 5.64/5.96 ============================== end of process initial clauses ========
% 5.64/5.96
% 5.64/5.96 ============================== CLAUSES FOR SEARCH ====================
% 5.64/5.96
% 5.64/5.96 ============================== end of clauses for search =============
% 5.64/5.96
% 5.64/5.96 ============================== SEARCH ================================
% 5.64/5.96
% 5.64/5.96 % Starting search at 0.01 seconds.
% 5.64/5.96
% 5.64/5.96 ============================== PROOF =================================
% 5.64/5.96 % SZS status Theorem
% 5.64/5.96 % SZS output start Refutation
% 5.64/5.96
% 5.64/5.96 % Proof 1 at 4.88 (+ 0.11) seconds.
% 5.64/5.96 % Length of proof is 160.
% 5.64/5.96 % Level of proof is 82.
% 5.64/5.96 % Maximum clause weight is 18.000.
% 5.64/5.96 % Given clauses 1035.
% 5.64/5.96
% 5.64/5.96 1 -((exists X f(X)) & (all Y all Z (f(Y) & f(Z) -> Y = Z)) <-> (exists U (f(U) & (all V (f(V) -> U = V))))) # label(kalish317) # label(negated_conjecture) # label(non_clause). [assumption].
% 5.64/5.96 2 f(c1) | f(c2) # label(kalish317) # label(negated_conjecture). [clausify(1)].
% 5.64/5.96 3 -f(A) | c4 != c3 | -f(B) | f1(B) != B # label(kalish317) # label(negated_conjecture). [clausify(1)].
% 5.64/5.96 4 f(c1) | -f(A) | A = c2 # label(kalish317) # label(negated_conjecture). [clausify(1)].
% 5.64/5.96 5 f(c1) | -f(A) | c2 = A. [copy(4),flip(c)].
% 5.64/5.96 7 -f(A) | f(c3) | -f(B) | f(f1(B)) # label(kalish317) # label(negated_conjecture). [clausify(1)].
% 5.64/5.96 8 -f(A) | f(c4) | -f(B) | f(f1(B)) # label(kalish317) # label(negated_conjecture). [clausify(1)].
% 5.64/5.96 9 -f(A) | f(c3) | -f(B) | f1(B) != B # label(kalish317) # label(negated_conjecture). [clausify(1)].
% 5.64/5.96 10 -f(A) | f(c4) | -f(B) | f1(B) != B # label(kalish317) # label(negated_conjecture). [clausify(1)].
% 5.64/5.96 11 -f(A) | c4 != c3 | -f(B) | f(f1(B)) # label(kalish317) # label(negated_conjecture). [clausify(1)].
% 5.64/5.96 12 -f(A) | -f(B) | B = A | -f(C) | C = c2 # label(kalish317) # label(negated_conjecture). [clausify(1)].
% 5.64/5.96 13 -f(A) | -f(B) | B = A | -f(C) | c2 = C. [copy(12),flip(e)].
% 5.64/5.96 14 -f(A) | c4 != c3 | f1(A) != A. [factor(3,a,c)].
% 5.64/5.96 15 -f(A) | f(c3) | f(f1(A)). [factor(7,a,c)].
% 5.64/5.96 16 -f(A) | f(c4) | f(f1(A)). [factor(8,a,c)].
% 5.64/5.96 17 -f(A) | f(c3) | f1(A) != A. [factor(9,a,c)].
% 5.64/5.96 18 -f(A) | f(c4) | f1(A) != A. [factor(10,a,c)].
% 5.64/5.96 19 -f(A) | c4 != c3 | f(f1(A)). [factor(11,a,c)].
% 5.64/5.96 20 -f(A) | -f(B) | B = A | c2 = A. [factor(13,a,d)].
% 5.64/5.96 21 -f(A) | -f(B) | B = A | c2 = B. [factor(13,b,d)].
% 5.64/5.96 23 c4 != c3 | f1(c2) != c2 | f(c1). [resolve(14,a,2,b)].
% 5.64/5.96 24 f(c3) | f(f1(c2)) | f(c1). [resolve(15,a,2,b)].
% 5.64/5.96 25 f(c4) | f(f1(c2)) | f(c1). [resolve(16,a,2,b)].
% 5.64/5.96 26 f(c3) | f1(c2) != c2 | f(c1). [resolve(17,a,2,b)].
% 5.64/5.96 27 f(c4) | f1(c2) != c2 | f(c1). [resolve(18,a,2,b)].
% 5.64/5.96 28 c4 != c3 | f(f1(c2)) | f(c1). [resolve(19,a,2,b)].
% 5.64/5.96 37 f(c3) | f(c1) | f1(c2) = c2. [resolve(24,b,5,b),flip(d),merge(c)].
% 5.64/5.96 44 f(c4) | f(c1) | f1(c2) = c2. [resolve(25,b,5,b),flip(d),merge(c)].
% 5.64/5.96 59 f(c1) | f1(c2) = c2 | c3 = c2. [resolve(37,a,5,b),flip(d),merge(c)].
% 5.64/5.96 72 f(c1) | f1(c2) = c2 | c4 = c2. [resolve(44,a,5,b),flip(d),merge(c)].
% 5.64/5.96 89 f1(c2) = c2 | c3 = c2 | -f(A) | c1 = A | c2 = c1. [resolve(59,a,21,b)].
% 5.64/5.96 90 f1(c2) = c2 | c3 = c2 | -f(A) | c1 = A | c2 = A. [resolve(59,a,21,a),flip(d)].
% 5.64/5.96 93 f1(c2) = c2 | c3 = c2 | f(c3) | f1(c1) != c1. [resolve(59,a,17,a)].
% 5.64/5.96 95 f1(c2) = c2 | c3 = c2 | f(c3) | f(f1(c1)). [resolve(59,a,15,a)].
% 5.64/5.96 114 f1(c2) = c2 | c4 = c2 | -f(A) | c1 = A | c2 = c1. [resolve(72,a,21,b)].
% 5.64/5.96 115 f1(c2) = c2 | c4 = c2 | -f(A) | c1 = A | c2 = A. [resolve(72,a,21,a),flip(d)].
% 5.64/5.96 118 f1(c2) = c2 | c4 = c2 | f(c3) | f1(c1) != c1. [resolve(72,a,17,a)].
% 5.64/5.96 119 f1(c2) = c2 | c4 = c2 | f(c4) | f(f1(c1)). [resolve(72,a,16,a)].
% 5.64/5.96 120 f1(c2) = c2 | c4 = c2 | f(c3) | f(f1(c1)). [resolve(72,a,15,a)].
% 5.64/5.96 319 f1(c2) = c2 | c3 = c2 | f1(c1) = c1 | c2 = c1 | f(c3). [resolve(89,c,95,d),flip(c),merge(e),merge(f)].
% 5.64/5.96 323 f1(c2) = c2 | c3 = c2 | f1(c1) = c1 | f1(c1) = c2 | f(c3). [resolve(90,c,95,d),flip(c),flip(d),merge(e),merge(f)].
% 5.64/5.96 510 f1(c2) = c2 | c4 = c2 | f1(c1) = c1 | c2 = c1 | f(c3). [resolve(114,c,120,d),flip(c),merge(e),merge(f)].
% 5.64/5.96 517 f1(c2) = c2 | c4 = c2 | f1(c1) = c1 | f1(c1) = c2 | f(c4). [resolve(115,c,119,d),flip(c),flip(d),merge(e),merge(f)].
% 5.64/5.96 1283 f1(c2) = c2 | c3 = c2 | f1(c1) = c1 | c2 = c1 | c3 = c1. [resolve(319,e,90,c),flip(g),flip(h),merge(e),merge(f),merge(h)].
% 5.64/5.96 1479 f1(c2) = c2 | c4 = c2 | f1(c1) = c1 | c2 = c1 | c3 = c1. [resolve(510,e,114,c),flip(g),merge(e),merge(f),merge(h)].
% 5.64/5.96 2298 f1(c2) = c2 | c3 = c2 | f1(c1) = c1 | f1(c1) = c2 | c3 = c1. [resolve(323,e,90,c),flip(g),flip(h),merge(e),merge(f),merge(h)].
% 5.64/5.96 2464 f1(c2) = c2 | c4 = c2 | f1(c1) = c1 | f1(c1) = c2 | c4 = c1. [resolve(517,e,115,c),flip(g),flip(h),merge(e),merge(f),merge(h)].
% 5.64/5.96 2827 c3 = c2 | f1(c1) = c1 | c2 = c1 | c3 = c1 | f(c3) | f(c1). [resolve(1283,a,26,b)].
% 5.64/5.96 2988 c4 = c2 | f1(c1) = c1 | c2 = c1 | c3 = c1 | f(c4) | f(c1). [resolve(1479,a,27,b)].
% 5.64/5.96 3995 c3 = c2 | f1(c1) = c1 | c2 = c1 | c3 = c1 | f(c1). [resolve(2827,e,5,b),flip(g),merge(f),merge(g)].
% 5.64/5.96 4017 c3 = c2 | f1(c1) = c1 | c2 = c1 | c3 = c1 | -f(A) | c1 = A. [resolve(3995,e,21,b),merge(g)].
% 5.64/5.96 4020 c3 = c2 | f1(c1) = c1 | c2 = c1 | c3 = c1 | f(c3) | f(f1(c1)). [resolve(3995,e,15,a)].
% 5.64/5.96 4059 c4 = c2 | f1(c1) = c1 | c2 = c1 | c3 = c1 | f(c1). [resolve(2988,e,5,b),flip(g),merge(f),merge(g)].
% 5.64/5.96 4061 c4 = c2 | f1(c1) = c1 | c2 = c1 | c3 = c1 | -f(A) | c1 = A. [resolve(4059,e,21,b),merge(g)].
% 5.64/5.96 4064 c4 = c2 | f1(c1) = c1 | c2 = c1 | c3 = c1 | f(c3) | f(f1(c1)). [resolve(4059,e,15,a)].
% 5.64/5.96 7546 c3 = c2 | f1(c1) = c1 | c2 = c1 | c3 = c1 | f(c3). [resolve(4020,f,4017,e),flip(j),merge(f),merge(g),merge(h),merge(i),merge(j)].
% 5.64/5.96 7587 c3 = c2 | f1(c1) = c1 | c2 = c1 | c3 = c1. [resolve(7546,e,4017,e),flip(i),merge(e),merge(f),merge(g),merge(h),merge(i)].
% 5.64/5.96 7620 c3 = c2 | c2 = c1 | c3 = c1 | f1(c2) = c2 | f(c3). [resolve(7587,b,93,d),merge(e)].
% 5.64/5.96 7661 c3 = c2 | c2 = c1 | c3 = c1 | f1(c2) = c2. [resolve(7620,e,90,c),flip(g),flip(h),merge(e),merge(f),merge(g),merge(h)].
% 5.64/5.96 7663 c3 = c2 | c2 = c1 | c3 = c1 | f(c3) | f(c1). [resolve(7661,d,26,b)].
% 5.64/5.96 7712 c3 = c2 | c2 = c1 | c3 = c1 | f(c1). [resolve(7663,d,5,b),flip(f),merge(e),merge(f)].
% 5.64/5.96 7714 c3 = c2 | c2 = c1 | c3 = c1 | -f(A) | c1 = A. [resolve(7712,d,21,b),merge(f)].
% 5.64/5.96 7717 c3 = c2 | c2 = c1 | c3 = c1 | f(c3) | f1(c1) != c1. [resolve(7712,d,17,a)].
% 5.64/5.96 7906 c3 = c2 | c2 = c1 | c3 = c1 | f(c3). [resolve(7717,e,7587,b),merge(e),merge(f),merge(g)].
% 5.64/5.96 7907 c3 = c2 | c2 = c1 | c3 = c1. [resolve(7906,d,7714,d),flip(g),merge(d),merge(e),merge(f),merge(g)].
% 5.64/5.96 7908 c2 = c1 | c3 = c1 | c4 != c2 | f(f1(c2)) | f(c1). [para(7907(a,1),28(a,2))].
% 5.64/5.96 8287 c4 = c2 | f1(c1) = c1 | c2 = c1 | c3 = c1 | f(c3). [resolve(4064,f,4061,e),flip(j),merge(f),merge(g),merge(h),merge(i),merge(j)].
% 5.64/5.96 8288 c4 = c2 | f1(c1) = c1 | c2 = c1 | c3 = c1. [resolve(8287,e,4061,e),flip(i),merge(e),merge(f),merge(g),merge(h),merge(i)].
% 5.64/5.96 8344 c4 = c2 | c2 = c1 | c3 = c1 | f1(c2) = c2 | f(c3). [resolve(8288,b,118,d),merge(e)].
% 5.64/5.96 8365 c4 = c2 | c2 = c1 | c3 = c1 | f1(c2) = c2. [resolve(8344,e,114,c),flip(g),merge(e),merge(f),merge(g),merge(h)].
% 5.64/5.96 8366 c4 = c2 | c2 = c1 | c3 = c1 | f(c4) | f(c1). [resolve(8365,d,27,b)].
% 5.64/5.96 8372 c4 = c2 | c2 = c1 | c3 = c1 | f(c1). [resolve(8366,d,5,b),flip(f),merge(e),merge(f)].
% 5.64/5.96 8394 c4 = c2 | c2 = c1 | c3 = c1 | -f(A) | c1 = A. [resolve(8372,d,21,b),merge(f)].
% 5.64/5.96 8397 c4 = c2 | c2 = c1 | c3 = c1 | f(c3) | f1(c1) != c1. [resolve(8372,d,17,a)].
% 5.64/5.96 8518 c4 = c2 | c2 = c1 | c3 = c1 | f(c3). [resolve(8397,e,8288,b),merge(e),merge(f),merge(g)].
% 5.64/5.96 8520 c4 = c2 | c2 = c1 | c3 = c1. [resolve(8518,d,8394,d),flip(g),merge(d),merge(e),merge(f),merge(g)].
% 5.64/5.96 8521 c2 = c1 | c3 = c1 | f(f1(c2)) | f(c1). [resolve(8520,a,7908,c),merge(c),merge(d)].
% 5.64/5.96 8553 c2 = c1 | c3 = c1 | f(c1) | f1(c2) = c2. [resolve(8521,c,5,b),flip(e),merge(d)].
% 5.64/5.96 8570 c2 = c1 | c3 = c1 | f1(c2) = c2 | -f(A) | c1 = A. [resolve(8553,c,21,b),merge(f)].
% 5.64/5.96 8573 c2 = c1 | c3 = c1 | f1(c2) = c2 | f(c3) | f1(c1) != c1. [resolve(8553,c,17,a)].
% 5.64/5.96 8575 c2 = c1 | c3 = c1 | f1(c2) = c2 | f(c3) | f(f1(c1)). [resolve(8553,c,15,a)].
% 5.64/5.96 8599 c2 = c1 | c3 = c1 | f1(c2) = c2 | f(c3) | f1(c1) = c1. [resolve(8575,e,8570,d),flip(h),merge(e),merge(f),merge(g)].
% 5.64/5.96 8663 c2 = c1 | c3 = c1 | f1(c2) = c2 | f1(c1) = c1. [resolve(8599,d,8570,d),flip(h),merge(e),merge(f),merge(g),merge(h)].
% 5.64/5.96 8686 c2 = c1 | c3 = c1 | f1(c1) = c1 | c4 != c3 | f(c1). [resolve(8663,c,23,b)].
% 5.64/5.96 8687 c2 = c1 | c3 = c1 | f1(c1) = c1 | c4 != c2 | f(c1). [para(7907(a,1),8686(d,2)),merge(c),merge(d)].
% 5.64/5.96 8699 c2 = c1 | c3 = c1 | f1(c1) = c1 | f(c1). [resolve(8687,d,8520,a),merge(e),merge(f)].
% 5.64/5.96 8701 c2 = c1 | c3 = c1 | f1(c1) = c1 | -f(A) | c1 = A. [resolve(8699,d,21,b),merge(f)].
% 5.64/5.96 8703 c2 = c1 | c3 = c1 | f1(c1) = c1 | f(c4) | f(f1(c1)). [resolve(8699,d,16,a)].
% 5.64/5.96 8746 c2 = c1 | c3 = c1 | f1(c1) = c1 | f(c4). [resolve(8703,e,8701,d),flip(h),merge(e),merge(f),merge(g),merge(h)].
% 5.64/5.96 8755 c2 = c1 | c3 = c1 | f1(c1) = c1 | f(c2). [para(8520(a,1),8746(d,1)),merge(c),merge(d)].
% 5.64/5.96 8757 c2 = c1 | c3 = c1 | f1(c1) = c1. [resolve(8755,d,8701,d),flip(g),merge(d),merge(e),merge(f),merge(g)].
% 5.64/5.96 8758 c2 = c1 | c3 = c1 | f1(c2) = c2 | f(c3). [resolve(8757,c,8573,e),merge(c),merge(d)].
% 5.64/5.96 8800 c2 = c1 | c3 = c1 | f1(c2) = c2. [resolve(8758,d,8570,d),flip(g),merge(d),merge(e),merge(f),merge(g)].
% 5.64/5.96 8803 c2 = c1 | c3 = c1 | c4 != c3 | f(c1). [resolve(8800,c,23,b)].
% 5.64/5.96 8844 c2 = c1 | c3 = c1 | c4 != c2 | f(c1). [para(7907(a,1),8803(c,2)),merge(c),merge(d)].
% 5.64/5.96 8846 c2 = c1 | c3 = c1 | f(c1). [resolve(8844,c,8520,a),merge(d),merge(e)].
% 5.64/5.96 8848 c2 = c1 | c3 = c1 | -f(A) | c1 = A. [resolve(8846,c,21,b),merge(e)].
% 5.64/5.96 8850 c2 = c1 | c3 = c1 | f(c4) | f1(c1) != c1. [resolve(8846,c,18,a)].
% 5.64/5.96 8994 c2 = c1 | c3 = c1 | f(c4). [resolve(8850,d,8757,c),merge(d),merge(e)].
% 5.64/5.96 9003 c2 = c1 | c3 = c1 | f(c2). [para(8520(a,1),8994(c,1)),merge(c),merge(d)].
% 5.64/5.96 9005 c2 = c1 | c3 = c1. [resolve(9003,c,8848,c),flip(e),merge(c),merge(d),merge(e)].
% 5.64/5.96 9010 c2 = c1 | f(c1) | f1(c2) = c2. [para(9005(b,1),37(a,1)),merge(c)].
% 5.64/5.96 9053 c2 = c1 | f1(c2) = c2 | -f(A) | c1 = A. [resolve(9010,b,21,b),merge(e)].
% 5.64/5.96 9054 c2 = c1 | f1(c2) = c2 | c4 != c3 | f(f1(c1)). [resolve(9010,b,19,a)].
% 5.64/5.96 9055 c2 = c1 | f1(c2) = c2 | f(c4) | f1(c1) != c1. [resolve(9010,b,18,a)].
% 5.64/5.96 9057 c2 = c1 | f1(c2) = c2 | f(c4) | f(f1(c1)). [resolve(9010,b,16,a)].
% 5.64/5.96 9059 c2 = c1 | f1(c2) = c2 | c4 != c3 | f1(c1) != c1. [resolve(9010,b,14,a)].
% 5.64/5.96 9130 c2 = c1 | f1(c2) = c2 | f(c4) | f1(c1) = c1. [resolve(9057,d,9053,c),flip(f),merge(d),merge(e)].
% 5.64/5.96 9207 c2 = c1 | f1(c2) = c2 | c4 != c1 | f(f1(c1)). [para(9005(b,1),9054(c,2)),merge(b)].
% 5.64/5.96 9267 c2 = c1 | f1(c2) = c2 | f1(c1) = c1 | c4 = c1. [resolve(9130,c,9053,c),flip(f),merge(d),merge(e)].
% 5.64/5.96 9493 c2 = c1 | f1(c1) = c1 | c4 = c1 | f(c3) | f(c1). [resolve(9267,b,26,b)].
% 5.64/5.96 9569 c2 = c1 | f1(c1) = c1 | c4 = c1 | f(c1). [para(9005(b,1),9493(d,1)),merge(b),merge(f)].
% 5.64/5.96 9571 c2 = c1 | f1(c1) = c1 | c4 = c1 | -f(A) | c1 = A. [resolve(9569,d,21,b),merge(f)].
% 5.64/5.96 9573 c2 = c1 | f1(c1) = c1 | c4 = c1 | f(c4) | f(f1(c1)). [resolve(9569,d,16,a)].
% 5.64/5.96 10115 c2 = c1 | f1(c1) = c1 | c4 = c1 | f(c4). [resolve(9573,e,9571,d),flip(h),merge(e),merge(f),merge(g),merge(h)].
% 5.64/5.96 10116 c2 = c1 | f1(c1) = c1 | c4 = c1. [resolve(10115,d,9571,d),flip(g),merge(d),merge(e),merge(f),merge(g)].
% 5.64/5.96 10124 c2 = c1 | c4 = c1 | f1(c2) = c2 | f(c4). [resolve(10116,b,9055,d),merge(c)].
% 5.64/5.96 10161 c2 = c1 | c4 = c1 | f1(c2) = c2. [resolve(10124,d,9053,c),flip(f),merge(d),merge(e),merge(f)].
% 5.64/5.96 10163 c2 = c1 | c4 = c1 | f(c3) | f(c1). [resolve(10161,c,26,b)].
% 5.64/5.96 10189 c2 = c1 | c4 = c1 | f(c1). [para(9005(b,1),10163(c,1)),merge(b),merge(e)].
% 5.64/5.96 10191 c2 = c1 | c4 = c1 | -f(A) | c1 = A. [resolve(10189,c,21,b),merge(e)].
% 5.64/5.96 10193 c2 = c1 | c4 = c1 | f(c4) | f1(c1) != c1. [resolve(10189,c,18,a)].
% 5.64/5.96 10236 c2 = c1 | c4 = c1 | f(c4). [resolve(10193,d,10116,b),merge(d),merge(e)].
% 5.64/5.96 10258 c2 = c1 | c4 = c1. [resolve(10236,c,10191,c),flip(e),merge(c),merge(d),merge(e)].
% 5.64/5.96 10260 c2 = c1 | f1(c2) = c2 | f(f1(c1)). [resolve(10258,b,9207,c),merge(b)].
% 5.64/5.96 10275 c2 = c1 | f1(c2) = c2 | f1(c1) = c1. [resolve(10260,c,9053,c),flip(e),merge(c),merge(d)].
% 5.64/5.96 10305 c2 = c1 | f1(c1) = c1 | f(c4) | f(c1). [resolve(10275,b,27,b)].
% 5.64/5.96 10312 c2 = c1 | f1(c1) = c1 | f(c1). [para(10258(b,1),10305(c,1)),merge(b),merge(e)].
% 5.64/5.96 10314 c2 = c1 | f1(c1) = c1 | -f(A) | c1 = A. [resolve(10312,c,21,b),merge(e)].
% 5.64/5.96 10315 c2 = c1 | f1(c1) = c1 | c4 != c3 | f(f1(c1)). [resolve(10312,c,19,a)].
% 5.64/5.96 10428 c2 = c1 | f1(c1) = c1 | c4 != c1 | f(f1(c1)). [para(9005(b,1),10315(c,2)),merge(b)].
% 5.64/5.96 10457 c2 = c1 | f1(c1) = c1 | f(f1(c1)). [resolve(10428,c,10258,b),merge(d)].
% 5.64/5.96 10478 c2 = c1 | f1(c1) = c1. [resolve(10457,c,10314,c),flip(e),merge(c),merge(d),merge(e)].
% 5.64/5.96 10484 c2 = c1 | f1(c2) = c2 | c4 != c3. [resolve(10478,b,9059,d),merge(b)].
% 5.64/5.96 10533 c2 = c1 | f1(c2) = c2 | c4 != c1. [para(9005(b,1),10484(c,2)),merge(b)].
% 5.64/5.96 10535 c2 = c1 | f1(c2) = c2. [resolve(10533,c,10258,b),merge(c)].
% 5.64/5.96 10552 c2 = c1 | f(c4) | f(c1). [resolve(10535,b,27,b)].
% 5.64/5.96 10559 c2 = c1 | f(c1). [para(10258(b,1),10552(b,1)),merge(b),merge(d)].
% 5.64/5.96 10567 c2 = c1 | c4 != c3 | f1(c1) != c1. [resolve(10559,b,14,a)].
% 5.64/5.96 10744 c2 = c1 | c4 != c3. [resolve(10567,c,10478,b),merge(c)].
% 5.64/5.96 10765 c2 = c1 | c4 != c1. [para(9005(b,1),10744(b,2)),merge(b)].
% 5.64/5.96 10767 c2 = c1. [resolve(10765,b,10258,b),merge(b)].
% 5.64/5.96 11562 f1(c1) = c1 | c4 = c1. [back_rewrite(2464),rewrite([10767(1),10767(3),10767(6),10767(14)]),merge(c),merge(d),merge(e)].
% 5.64/5.96 11573 f1(c1) = c1 | c3 = c1. [back_rewrite(2298),rewrite([10767(1),10767(3),10767(6),10767(14)]),merge(c),merge(d),merge(e)].
% 5.64/5.96 11860 -f(A) | -f(B) | B = A | c1 = A. [back_rewrite(20),rewrite([10767(4)])].
% 5.64/5.96 11864 f(c1). [back_rewrite(2),rewrite([10767(3)]),merge(b)].
% 5.64/5.96 11865 -f(A) | c1 = A. [factor(11860,c,d),unit_del(b,11864)].
% 5.64/5.96 11866 c4 != c3 | f(f1(c1)). [resolve(11864,a,19,a)].
% 5.64/5.96 11867 f(c4) | f1(c1) != c1. [resolve(11864,a,18,a)].
% 5.64/5.96 11868 f(c3) | f1(c1) != c1. [resolve(11864,a,17,a)].
% 5.64/5.96 11871 c4 != c3 | f1(c1) != c1. [resolve(11864,a,14,a)].
% 5.64/5.96 11899 c4 = c1 | f(c4). [resolve(11562,a,11867,b)].
% 5.64/5.96 11906 c4 = c1. [resolve(11899,b,11865,a),flip(b),merge(b)].
% 5.64/5.96 11910 c3 != c1 | f1(c1) != c1. [back_rewrite(11871),rewrite([11906(1)]),flip(a)].
% 5.64/5.96 11911 c3 != c1 | f(f1(c1)). [back_rewrite(11866),rewrite([11906(1)]),flip(a)].
% 5.64/5.96 11914 c3 = c1 | f(c3). [resolve(11573,a,11868,b)].
% 5.64/5.96 11915 c3 = c1. [resolve(11914,b,11865,a),flip(b),merge(b)].
% 5.64/5.96 11918 f(f1(c1)). [back_rewrite(11911),rewrite([11915(1)]),xx(a)].
% 5.64/5.96 11919 f1(c1) != c1. [back_rewrite(11910),rewrite([11915(1)]),xx(a)].
% 5.64/5.96 11920 $F. [resolve(11918,a,11865,a),flip(a),unit_del(a,11919)].
% 5.64/5.96
% 5.64/5.96 % SZS output end Refutation
% 5.64/5.96 ============================== end of proof ==========================
% 5.64/5.96
% 5.64/5.96 ============================== STATISTICS ============================
% 5.64/5.96
% 5.64/5.96 Given=1035. Generated=140938. Kept=11916. proofs=1.
% 5.64/5.96 Usable=6. Sos=3. Demods=3. Limbo=0, Disabled=11917. Hints=0.
% 5.64/5.96 Megabytes=9.68.
% 5.64/5.96 User_CPU=4.88, System_CPU=0.11, Wall_clock=5.
% 5.64/5.96
% 5.64/5.96 ============================== end of statistics =====================
% 5.64/5.96
% 5.64/5.96 ============================== end of search =========================
% 5.64/5.96
% 5.64/5.96 THEOREM PROVED
% 5.64/5.96 % SZS status Theorem
% 5.64/5.96
% 5.64/5.96 Exiting with 1 proof.
% 5.64/5.96
% 5.64/5.96 Process 14178 exit (max_proofs) Tue Jul 12 04:22:39 2022
% 5.64/5.96 Prover9 interrupted
%------------------------------------------------------------------------------