0.08/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s 0.16/0.36 % Computer : n026.cluster.edu 0.16/0.36 % Model : x86_64 x86_64 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.36 % Memory : 8042.1875MB 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.36 % CPULimit : 180 0.16/0.36 % DateTime : Thu Aug 29 15:59:50 EDT 2019 0.16/0.37 % CPUTime : 0.52/1.14 ============================== Prover9 =============================== 0.52/1.14 Prover9 (32) version 2009-11A, November 2009. 0.52/1.14 Process 24474 was started by sandbox on n026.cluster.edu, 0.52/1.14 Thu Aug 29 15:59:51 2019 0.52/1.14 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 180 -f /tmp/Prover9_24320_n026.cluster.edu". 0.52/1.14 ============================== end of head =========================== 0.52/1.14 0.52/1.14 ============================== INPUT ================================= 0.52/1.14 0.52/1.14 % Reading from file /tmp/Prover9_24320_n026.cluster.edu 0.52/1.14 0.52/1.14 set(prolog_style_variables). 0.52/1.14 set(auto2). 0.52/1.14 % set(auto2) -> set(auto). 0.52/1.14 % set(auto) -> set(auto_inference). 0.52/1.14 % set(auto) -> set(auto_setup). 0.52/1.14 % set(auto_setup) -> set(predicate_elim). 0.52/1.14 % set(auto_setup) -> assign(eq_defs, unfold). 0.52/1.14 % set(auto) -> set(auto_limits). 0.52/1.14 % set(auto_limits) -> assign(max_weight, "100.000"). 0.52/1.14 % set(auto_limits) -> assign(sos_limit, 20000). 0.52/1.14 % set(auto) -> set(auto_denials). 0.52/1.14 % set(auto) -> set(auto_process). 0.52/1.14 % set(auto2) -> assign(new_constants, 1). 0.52/1.14 % set(auto2) -> assign(fold_denial_max, 3). 0.52/1.14 % set(auto2) -> assign(max_weight, "200.000"). 0.52/1.14 % set(auto2) -> assign(max_hours, 1). 0.52/1.14 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.52/1.14 % set(auto2) -> assign(max_seconds, 0). 0.52/1.14 % set(auto2) -> assign(max_minutes, 5). 0.52/1.14 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.52/1.14 % set(auto2) -> set(sort_initial_sos). 0.52/1.14 % set(auto2) -> assign(sos_limit, -1). 0.52/1.14 % set(auto2) -> assign(lrs_ticks, 3000). 0.52/1.14 % set(auto2) -> assign(max_megs, 400). 0.52/1.14 % set(auto2) -> assign(stats, some). 0.52/1.14 % set(auto2) -> clear(echo_input). 0.52/1.14 % set(auto2) -> set(quiet). 0.52/1.14 % set(auto2) -> clear(print_initial_clauses). 0.52/1.14 % set(auto2) -> clear(print_given). 0.52/1.14 assign(lrs_ticks,-1). 0.52/1.14 assign(sos_limit,10000). 0.52/1.14 assign(order,kbo). 0.52/1.14 set(lex_order_vars). 0.52/1.14 clear(print_given). 0.52/1.14 0.52/1.14 % formulas(sos). % not echoed (47 formulas) 0.52/1.14 0.52/1.14 ============================== end of input ========================== 0.52/1.14 0.52/1.14 % From the command line: assign(max_seconds, 180). 0.52/1.14 0.52/1.14 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.52/1.14 0.52/1.14 % Formulas that are not ordinary clauses: 0.52/1.14 1 (all X all Y all W all V (s_t(X,Y,ext(X,Y,W,V)) & s_e(Y,ext(X,Y,W,V),W,V))) # label(aA4) # label(axiom) # label(non_clause). [assumption]. 0.52/1.14 2 (all X all Y all X1 all Y1 all Z all Z1 all V all V1 (-s_e(X,V,X1,V1) | -s_e(Y,V,Y1,V1) | Y = X | s_e(Z,V,Z1,V1) | -s_t(X1,Y1,Z1) | -s_t(X,Y,Z) | -s_e(Y,Z,Y1,Z1) | -s_e(X,Y,X1,Y1))) # label(aA5) # label(axiom) # label(non_clause). [assumption]. 0.52/1.14 3 (all Xa all Xp all Xc all Xb all Xq ((-s_t(Xb,Xq,Xc) | s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb) | -s_t(Xa,Xp,Xc)) & (-s_t(Xb,Xq,Xc) | s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa) | -s_t(Xa,Xp,Xc)))) # label(aA7) # label(axiom) # label(non_clause). [assumption]. 0.52/1.14 4 (all X all Y all Z all V all Z2 all V2 (-s_e(X,Y,Z2,V2) | s_e(Z,V,Z2,V2) | -s_e(X,Y,Z,V))) # label(aA2) # label(axiom) # label(non_clause). [assumption]. 0.52/1.14 5 (all X all Y (X = Y | -s_t(X,Y,X))) # label(aA6) # label(axiom) # label(non_clause). [assumption]. 0.52/1.14 6 (all X all Y all Z (X = Y | -s_e(X,Y,Z,Z))) # label(aA3) # label(axiom) # label(non_clause). [assumption]. 0.52/1.14 7 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause). [assumption]. 0.52/1.14 8 (all Xa all Xb s_e(Xa,Xb,Xa,Xb)) # label(aSatz2_1) # label(axiom) # label(non_clause). [assumption]. 0.52/1.14 9 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 ((s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (s_e(Xb,Xd,Xb1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (-s_col(Xa,Xb,Xc) | -s_e(Xa,Xd,Xa1,Xd1) | -s_e(Xb,Xd,Xb1,Xd1) | s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)) & (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e(Xa,Xd,Xa1,Xd1)) & (s_col(Xa,Xb,Xc) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)))) # label(d_Defn4_15) # label(axiom) # label(non_clause). [assumption]. 0.52/1.14 10 (all Xa all Xb all Xc all Xa1 all Xc1 ((-s_t(Xa,Xb,Xc) | -s_e(Xa,Xc,Xa1,Xc1) | s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1)) & (-s_t(Xa,Xb,Xc) | s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_e(Xa,Xc,Xa1,Xc1)))) # label(aSatz4_5) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 11 (all Xa all Xb all Xc all Xd (-s_e(Xa,Xb,Xc,Xd) | s_e(Xb,Xa,Xd,Xc))) # label(aSatz2_14) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 12 (all Xa all Xb all Xc (s_t(Xc,Xb,Xa) | -s_t(Xa,Xb,Xc))) # label(aSatz3_2) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 13 (all Xa all Xb all Xd all Xc (-s_t(Xb,Xc,Xd) | s_t(Xa,Xb,Xc) | -s_t(Xa,Xb,Xd))) # label(aSatz3_5a) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 14 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e(Xa,Xc,Xa1,Xc1) | s_e(Xa,Xb,Xa1,Xb1) | -s_e(Xb,Xc,Xb1,Xc1) | -s_t(Xa1,Xb1,Xc1) | -s_t(Xa,Xb,Xc))) # label(aSatz4_3) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 15 (all Xa1 all Xb1 s_t(Xa1,Xa1,Xb1)) # label(aSatz3_3) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 16 (all Xa all Xb all Xc all Xa1 all Xb1 all Xp ((-s_t(Xa,Xb,Xc) | -s_t(Xa1,Xb1,Xc) | -s_t(Xa,Xp,Xa1) | s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1)) & (-s_t(Xa,Xb,Xc) | s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc) | -s_t(Xa,Xp,Xa1) | -s_t(Xa1,Xb1,Xc)))) # label(aSatz3_17) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 17 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | s_t(Xa,Xb,Xd) | -s_t(Xa,Xc,Xd))) # label(aSatz3_6b) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 18 (all Xa all Xb all Xd all Xc (s_t(Xa,Xc,Xd) | -s_t(Xb,Xc,Xd) | -s_t(Xa,Xb,Xd))) # label(aSatz3_5b) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 19 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xc,Xd) | s_t(Xb,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_6a) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 20 (all Xa all Xb all Xc all Xd (s_e(Xb,Xa,Xc,Xd) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_4) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 21 (all Xa all Xb all Xc all Xd (-s_e(Xa,Xb,Xc,Xd) | s_e(Xc,Xd,Xa,Xb))) # label(aSatz2_2) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 22 (all Xa all Xb all Xc all Xd all Xe all Xf (-s_e(Xa,Xb,Xc,Xd) | s_e(Xa,Xb,Xe,Xf) | -s_e(Xc,Xd,Xe,Xf))) # label(aSatz2_3) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 23 (all Xa all Xb all Xa1 all Xc1 insert(Xa,Xb,Xa1,Xc1) = ext(ext(Xc1,Xa1,alpha,gamma),Xa1,Xa,Xb)) # label(d_insert) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 24 (all Xa all Xb s_t(Xa,Xb,Xb)) # label(aSatz3_1) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 25 (all Xa all Xb all Xc (Xa = Xb | -s_t(Xb,Xa,Xc) | -s_t(Xa,Xb,Xc))) # label(aSatz3_4) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 26 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa,Xb,Xc) | -s_t(Xa1,Xb1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xa,Xb,Xa1,Xb1))) # label(aSatz2_11) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 27 (all Xb all Xa ext(Xa,Xb,alpha,gamma) != Xb) # label(aSatz3_14b) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 28 (all Xa all Xb s_e(Xa,Xa,Xb,Xb)) # label(aSatz2_8) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 29 (all Xa all Xb all Xc all Xd (Xb = Xc | s_t(Xa,Xc,Xd) | -s_t(Xb,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_7a) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 30 (all Xa all Xb all Xc all Xd (-s_e(Xa,Xb,Xc,Xd) | s_e(Xa,Xb,Xd,Xc))) # label(aSatz2_5) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 31 (all Xa all Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma))) # label(aSatz3_14a) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 32 (all Xa all Xb all Xc ((-s_col(Xa,Xb,Xc) | s_t(Xa,Xb,Xc) | s_t(Xb,Xc,Xa) | s_t(Xc,Xa,Xb)) & (s_col(Xa,Xb,Xc) | -s_t(Xa,Xb,Xc)) & (-s_t(Xc,Xa,Xb) | s_col(Xa,Xb,Xc)) & (-s_t(Xb,Xc,Xa) | s_col(Xa,Xb,Xc)))) # label(d_Defn4_10) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 33 (all Xa all Xb all Xc all XA all XB all XC (-s_e(Xb,Xc,XA,XB) | s_e(Xa,Xc,XA,XC) | -s_e(Xa,Xb,XB,XC) | -s_t(XA,XB,XC) | -s_t(Xa,Xb,Xc))) # label(aSatz2_15) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 34 (all Xq all Xa all Xd all Xb all Xc (ext(Xq,Xa,Xb,Xc) = Xd | -s_e(Xa,Xd,Xb,Xc) | -s_t(Xq,Xa,Xd) | Xa = Xq)) # label(aSatz2_12) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 35 (all Xb all Xc all Xa (-s_e(Xb,Xc,Xa,Xa) | Xb = Xc)) # label(aSatz2_13) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 36 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((s_t(Xa,Xb,Xc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_t(Za,Zb,Zc)) & (s_e(Xa,Xc,Za,Zc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (s_e(Xc,Xd,Zc,Zd) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_t(Xa,Xb,Xc) | -s_e(Xa,Xc,Za,Zc) | -s_e(Xb,Xc,Zb,Zc) | s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xc,Xd,Zc,Zd) | -s_e(Xa,Xd,Za,Zd) | -s_t(Za,Zb,Zc)) & (s_e(Xa,Xd,Za,Zd) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (s_e(Xb,Xc,Zb,Zc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)))) # label(d_Defn4_1) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 37 (all Xa1 all Xa2 all Xa3 all Xb1 all Xb2 all Xb3 ((-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | s_e(Xa1,Xa2,Xb1,Xb2)) & (-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | s_e(Xa2,Xa3,Xb2,Xb3)) & (-s_e(Xa1,Xa3,Xb1,Xb3) | s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | -s_e(Xa2,Xa3,Xb2,Xb3) | -s_e(Xa1,Xa2,Xb1,Xb2)) & (-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | s_e(Xa1,Xa3,Xb1,Xb3)))) # label(d_Defn4_4) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 38 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xb,Xc,Xd) | Xb = Xc | s_t(Xa,Xb,Xd))) # label(aSatz3_7b) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 39 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((s_t(Xa,Xb,Xc) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_t(Za,Zb,Zc)) & (s_e(Xa,Xb,Za,Zb) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xc,Zb,Zc)) & (s_e(Xa,Xd,Za,Zd) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xd,Zb,Zd)) & (-s_t(Za,Zb,Zc) | s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xb,Xd,Zb,Zd) | -s_e(Xa,Xd,Za,Zd) | -s_e(Xb,Xc,Zb,Zc) | -s_e(Xa,Xb,Za,Zb) | -s_t(Xa,Xb,Xc)))) # label(d_Defn2_10) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 40 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (-s_ifs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e(Xb,Xd,Xb1,Xd1))) # label(aSatz4_2) # label(axiom) # label(non_clause). [assumption]. 0.52/1.15 41 -(all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | s_t(Xa1,Xb1,Xc1) | -s_t(Xa,Xb,Xc))) # label(aSatz4_6) # label(negated_conjecture) # label(non_clause). [assumption]. 0.52/1.15 0.52/1.15 ============================== end of process non-clausal formulas === 0.52/1.15 0.52/1.15 ============================== PROCESS INITIAL CLAUSES =============== 0.52/1.15 0.52/1.15 ============================== PREDICATE ELIMINATION ================= 0.52/1.15 42 -s_e3(A,B,C,D,E,F) | s_e(A,B,D,E) # label(d_Defn4_4) # label(axiom). [clausify(37)]. 0.52/1.15 43 s_e3(c1,c2,c3,c4,c5,c6) # label(aSatz4_6) # label(negated_conjecture). [clausify(41)]. 0.52/1.15 Derived: s_e(c1,c2,c4,c5). [resolve(42,a,43,a)]. 0.52/1.15 44 -s_e3(A,B,C,D,E,F) | s_e(B,C,E,F) # label(d_Defn4_4) # label(axiom). [clausify(37)]. 0.52/1.15 Derived: s_e(c2,c3,c5,c6). [resolve(44,a,43,a)]. 0.52/1.15 45 -s_e3(A,B,C,D,E,F) | s_e(A,C,D,F) # label(d_Defn4_4) # label(axiom). [clausify(37)]. 0.52/1.15 Derived: s_e(c1,c3,c4,c6). [resolve(45,a,43,a)]. 0.52/1.15 46 s_e3(A,B,C,D,E,F) | -s_fs(A,B,C,V6,D,E,F,V7) # label(d_Defn4_15) # label(axiom). [clausify(9)]. 0.52/1.15 Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(A,B,E,F). [resolve(46,a,42,a)]. 0.52/1.15 Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6). [resolve(46,a,44,a)]. 0.52/1.15 Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(A,C,E,V6). [resolve(46,a,45,a)]. 0.52/1.15 47 -s_t(A,B,C) | s_e3(A,B,C,D,insert(A,B,D,E),E) | -s_e(A,C,D,E) # label(aSatz4_5) # label(axiom). [clausify(10)]. 0.52/1.15 Derived: -s_t(A,B,C) | -s_e(A,C,D,E) | s_e(A,B,D,insert(A,B,D,E)). [resolve(47,b,42,a)]. 0.52/1.15 Derived: -s_t(A,B,C) | -s_e(A,C,D,E) | s_e(B,C,insert(A,B,D,E),E). [resolve(47,b,44,a)]. 0.52/1.15 48 -s_e(A,B,C,D) | s_e3(A,E,B,C,F,D) | -s_e(E,B,F,D) | -s_e(A,E,C,F) # label(d_Defn4_4) # label(axiom). [clausify(37)]. 0.52/1.15 49 -s_col(A,B,C) | -s_e(A,D,E,F) | -s_e(B,D,V6,F) | s_fs(A,B,C,D,E,V6,V7,F) | -s_e3(A,B,C,E,V6,V7) # label(d_Defn4_15) # label(axiom). [clausify(9)]. 0.52/1.15 Derived: -s_col(c1,c2,c3) | -s_e(c1,A,c4,B) | -s_e(c2,A,c5,B) | s_fs(c1,c2,c3,A,c4,c5,c6,B). [resolve(49,e,43,a)]. 0.52/1.15 Derived: -s_col(A,B,C) | -s_e(A,D,E,F) | -s_e(B,D,V6,F) | s_fs(A,B,C,D,E,V6,V7,F) | -s_fs(A,B,C,V8,E,V6,V7,V9). [resolve(49,e,46,a)]. 0.52/1.15 Derived: -s_col(A,B,C) | -s_e(A,D,E,F) | -s_e(B,D,insert(A,B,E,V6),F) | s_fs(ACputime limit exceeded (core dumped) 180.03/180.30 EOF