0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : run_vampire %s %d THM 0.09/0.28 % Computer : n002.cluster.edu 0.09/0.28 % Model : x86_64 x86_64 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.28 % Memory : 8042.1875MB 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.28 % CPULimit : 960 0.09/0.28 % WCLimit : 120 0.09/0.28 % DateTime : Wed Jul 30 06:21:19 EDT 2025 0.09/0.28 % CPUTime : 0.09/0.30 This is a TFF_ problem 0.09/0.30 Running first-order theorem proving 0.09/0.30 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.35 % (12594)Running in auto input_syntax mode. Trying TPTP 0.15/0.35 % (12599)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3615567848:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi) 0.15/0.35 % (12594)Running in auto input_syntax mode. Trying TPTP 0.15/0.35 % (12597)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1781605044:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi) 0.15/0.35 % (12599)Instruction limit reached! 0.15/0.35 % (12599)------------------------------ 0.15/0.35 % (12599)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.15/0.35 % (12599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.15/0.35 % (12599)Termination reason: Instruction limit 0.15/0.35 % (12599)Termination phase: Saturation 0.15/0.35 0.15/0.35 % (12599)Time elapsed: 0.003 s 0.15/0.35 % (12599)Peak memory usage: 8 MB 0.15/0.35 % (12599)Instructions burned: 11 (million) 0.15/0.36 % (12597)First to succeed. 0.15/0.36 % (12597)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12594" 0.15/0.36 % (12594)Running in auto input_syntax mode. Trying TPTP 0.15/0.36 % (12597)Refutation found. Thanks to Tanya! 0.15/0.36 % SZS status Theorem for theBenchmark 0.15/0.36 % SZS output start Proof for theBenchmark 0.15/0.36 tff(func_def_0, type, a: $int). 0.15/0.36 tff(func_def_15, type, sF0: $int). 0.15/0.36 tff(func_def_16, type, sF1: $int). 0.15/0.36 tff(func_def_17, type, sF2: $int). 0.15/0.36 tff(func_def_18, type, sF3: $int). 0.15/0.36 tff(func_def_19, type, sF4: $int). 0.15/0.36 tff(func_def_20, type, sF5: $int). 0.15/0.36 tff(func_def_21, type, sF6: $int). 0.15/0.36 tff(func_def_22, type, sF7: $int). 0.15/0.36 tff(func_def_23, type, sF8: $int). 0.15/0.36 tff(func_def_24, type, sF9: $int). 0.15/0.36 tff(func_def_25, type, sF10: $int). 0.15/0.36 tff(func_def_26, type, sF11: $int). 0.15/0.36 tff(func_def_27, type, sF12: $int). 0.15/0.36 tff(func_def_28, type, sF13: $int). 0.15/0.36 tff(func_def_29, type, sF14: $int). 0.15/0.36 tff(func_def_30, type, sF15: $int). 0.15/0.36 tff(func_def_31, type, sF16: $int). 0.15/0.36 tff(func_def_32, type, sF17: $int). 0.15/0.36 tff(func_def_33, type, sF18: $int). 0.15/0.36 tff(func_def_34, type, sF19: $int). 0.15/0.36 tff(func_def_35, type, sF20: $int). 0.15/0.36 tff(f154,plain,( 0.15/0.36 $false), 0.15/0.36 inference(avatar_smt_refutation,[],[f38,f43,f48,f53,f58,f63,f68,f73,f78,f83,f88,f93,f98,f103,f108,f113,f118,f123,f128,f133,f138,f143,f148,f153])). 0.15/0.36 tff(f153,plain,( 0.15/0.36 spl21_24), 0.15/0.36 inference(avatar_split_clause,[],[f26,f150])). 0.15/0.36 tff(f150,definition,( 0.15/0.36 spl21_24 <=> $product(-2,sF5) = sF17), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_24])],[avatar_definition])). 0.15/0.36 tff(f26,definition,( 0.15/0.36 $product(-2,sF5) = sF17), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF17])],[function_definition])). 0.15/0.36 tff(f148,plain,( 0.15/0.36 spl21_23), 0.15/0.36 inference(avatar_split_clause,[],[f33,f145])). 0.15/0.36 tff(f145,definition,( 0.15/0.36 spl21_23 <=> $uminus(sF18) = sF19), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_23])],[avatar_definition])). 0.15/0.36 tff(f33,plain,( 0.15/0.36 $uminus(sF18) = sF19), 0.15/0.36 inference(evaluation,[],[f28])). 0.15/0.36 tff(f28,definition,( 0.15/0.36 $product(-1,sF18) = sF19), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF19])],[function_definition])). 0.15/0.36 tff(f143,plain,( 0.15/0.36 spl21_22), 0.15/0.36 inference(avatar_split_clause,[],[f24,f140])). 0.15/0.36 tff(f140,definition,( 0.15/0.36 spl21_22 <=> $product(-2,sF4) = sF15), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_22])],[avatar_definition])). 0.15/0.36 tff(f24,definition,( 0.15/0.36 $product(-2,sF4) = sF15), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF15])],[function_definition])). 0.15/0.36 tff(f138,plain,( 0.15/0.36 spl21_21), 0.15/0.36 inference(avatar_split_clause,[],[f32,f135])). 0.15/0.36 tff(f135,definition,( 0.15/0.36 spl21_21 <=> 0 = $product(a,$sum(a,$uminus($product($product(2,a),$sum(a,$product($product(3,a),$sum(a,$uminus($product($product(4,a),$sum(a,$product($product(5,a),$sum(a,$uminus($product($product(6,a),$sum(a,$product($product(7,a),$sum(a,$uminus($product($product(8,a),$sum(9,a))))))))))))))))))))), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_21])],[avatar_definition])). 0.15/0.36 tff(f32,plain,( 0.15/0.36 0 = $product(a,$sum(a,$uminus($product($product(2,a),$sum(a,$product($product(3,a),$sum(a,$uminus($product($product(4,a),$sum(a,$product($product(5,a),$sum(a,$uminus($product($product(6,a),$sum(a,$product($product(7,a),$sum(a,$uminus($product($product(8,a),$sum(9,a))))))))))))))))))))), 0.15/0.36 inference(evaluation,[],[f6])). 0.15/0.36 tff(f6,plain,( 0.15/0.36 0 = $product(a,$sum(a,$product(-1,$product($product(2,a),$sum(a,$product($product(3,a),$sum(a,$product(-1,$product($product(4,a),$sum(a,$product($product(5,a),$sum(a,$product(-1,$product($product(6,a),$sum(a,$product($product(7,a),$sum(a,$product(-1,$product($product(8,a),$sum(9,a))))))))))))))))))))), 0.15/0.36 inference(cnf_transformation,[],[f3])). 0.15/0.36 tff(f3,axiom,( 0.15/0.36 0 = $product(a,$sum(a,$product(-1,$product($product(2,a),$sum(a,$product($product(3,a),$sum(a,$product(-1,$product($product(4,a),$sum(a,$product($product(5,a),$sum(a,$product(-1,$product($product(6,a),$sum(a,$product($product(7,a),$sum(a,$product(-1,$product($product(8,a),$sum(9,a))))))))))))))))))))), 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.15/0.36 tff(f133,plain,( 0.15/0.36 spl21_20), 0.15/0.36 inference(avatar_split_clause,[],[f8,f130])). 0.15/0.36 tff(f130,definition,( 0.15/0.36 spl21_20 <=> $product(2,a) = $product($product(5,a),a)), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_20])],[avatar_definition])). 0.15/0.36 tff(f8,plain,( 0.15/0.36 $product(2,a) = $product($product(5,a),a)), 0.15/0.36 inference(cnf_transformation,[],[f4])). 0.15/0.36 tff(f4,axiom,( 0.15/0.36 $product(2,a) = $product($product(5,a),a)), 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.15/0.36 tff(f128,plain,( 0.15/0.36 spl21_19), 0.15/0.36 inference(avatar_split_clause,[],[f19,f125])). 0.15/0.36 tff(f125,definition,( 0.15/0.36 spl21_19 <=> $sum(sF8,sF9) = sF10), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_19])],[avatar_definition])). 0.15/0.36 tff(f19,definition,( 0.15/0.36 $sum(sF8,sF9) = sF10), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF10])],[function_definition])). 0.15/0.36 tff(f123,plain,( 0.15/0.36 spl21_18), 0.15/0.36 inference(avatar_split_clause,[],[f23,f120])). 0.15/0.36 tff(f120,definition,( 0.15/0.36 spl21_18 <=> $sum(sF12,sF13) = sF14), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_18])],[avatar_definition])). 0.15/0.36 tff(f23,definition,( 0.15/0.36 $sum(sF12,sF13) = sF14), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF14])],[function_definition])). 0.15/0.36 tff(f118,plain,( 0.15/0.36 spl21_17), 0.15/0.36 inference(avatar_split_clause,[],[f21,f115])). 0.15/0.36 tff(f115,definition,( 0.15/0.36 spl21_17 <=> $sum(sF10,sF11) = sF12), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_17])],[avatar_definition])). 0.15/0.36 tff(f21,definition,( 0.15/0.36 $sum(sF10,sF11) = sF12), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF12])],[function_definition])). 0.15/0.36 tff(f113,plain,( 0.15/0.36 spl21_16), 0.15/0.36 inference(avatar_split_clause,[],[f10,f110])). 0.15/0.36 tff(f110,definition,( 0.15/0.36 spl21_16 <=> sF1 = $product(sF0,a)), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_16])],[avatar_definition])). 0.15/0.36 tff(f10,definition,( 0.15/0.36 sF1 = $product(sF0,a)), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])). 0.15/0.36 tff(f108,plain,( 0.15/0.36 spl21_15), 0.15/0.36 inference(avatar_split_clause,[],[f25,f105])). 0.15/0.36 tff(f105,definition,( 0.15/0.36 spl21_15 <=> sF16 = $sum(sF14,sF15)), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_15])],[avatar_definition])). 0.15/0.36 tff(f25,definition,( 0.15/0.36 sF16 = $sum(sF14,sF15)), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF16])],[function_definition])). 0.15/0.36 tff(f103,plain,( 0.15/0.36 spl21_14), 0.15/0.36 inference(avatar_split_clause,[],[f29,f100])). 0.15/0.36 tff(f100,definition,( 0.15/0.36 spl21_14 <=> sF20 = $sum(sF7,sF19)), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_14])],[avatar_definition])). 0.15/0.36 tff(f29,definition,( 0.15/0.36 sF20 = $sum(sF7,sF19)), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF20])],[function_definition])). 0.15/0.36 tff(f98,plain,( 0.15/0.36 spl21_13), 0.15/0.36 inference(avatar_split_clause,[],[f22,f95])). 0.15/0.36 tff(f95,definition,( 0.15/0.36 spl21_13 <=> sF13 = $product(2,sF3)), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_13])],[avatar_definition])). 0.15/0.36 tff(f22,definition,( 0.15/0.36 sF13 = $product(2,sF3)), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF13])],[function_definition])). 0.15/0.36 tff(f93,plain,( 0.15/0.36 spl21_12), 0.15/0.36 inference(avatar_split_clause,[],[f14,f90])). 0.15/0.36 tff(f90,definition,( 0.15/0.36 spl21_12 <=> $product(sF4,a) = sF5), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_12])],[avatar_definition])). 0.15/0.36 tff(f14,definition,( 0.15/0.36 $product(sF4,a) = sF5), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF5])],[function_definition])). 0.15/0.36 tff(f88,plain,( 0.15/0.36 spl21_11), 0.15/0.36 inference(avatar_split_clause,[],[f31,f85])). 0.15/0.36 tff(f85,definition,( 0.15/0.36 spl21_11 <=> $uminus(sF0) = sF9), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_11])],[avatar_definition])). 0.15/0.36 tff(f31,plain,( 0.15/0.36 $uminus(sF0) = sF9), 0.15/0.36 inference(evaluation,[],[f18])). 0.15/0.36 tff(f18,definition,( 0.15/0.36 $product(-1,sF0) = sF9), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF9])],[function_definition])). 0.15/0.36 tff(f83,plain,( 0.15/0.36 ~spl21_10), 0.15/0.36 inference(avatar_split_clause,[],[f30,f80])). 0.15/0.36 tff(f80,definition,( 0.15/0.36 spl21_10 <=> 0 = sF20), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_10])],[avatar_definition])). 0.15/0.36 tff(f30,plain,( 0.15/0.36 0 != sF20), 0.15/0.36 inference(definition_folding,[],[f7,f29,f28,f27,f26,f14,f13,f12,f11,f10,f9,f25,f24,f13,f12,f11,f10,f9,f23,f22,f12,f11,f10,f9,f21,f20,f10,f9,f19,f18,f9,f17,f16,f15,f14,f13,f12,f11,f10,f9])). 0.15/0.36 tff(f15,definition,( 0.15/0.36 $product(sF5,a) = sF6), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF6])],[function_definition])). 0.15/0.36 tff(f16,definition,( 0.15/0.36 $product(2,sF6) = sF7), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF7])],[function_definition])). 0.15/0.36 tff(f17,definition,( 0.15/0.36 $product(612,a) = sF8), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF8])],[function_definition])). 0.15/0.36 tff(f20,definition,( 0.15/0.36 sF11 = $product(-2,sF1)), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF11])],[function_definition])). 0.15/0.36 tff(f9,definition,( 0.15/0.36 $product(a,a) = sF0), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF0])],[function_definition])). 0.15/0.36 tff(f11,definition,( 0.15/0.36 $product(sF1,a) = sF2), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])). 0.15/0.36 tff(f12,definition,( 0.15/0.36 sF3 = $product(sF2,a)), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])). 0.15/0.36 tff(f13,definition,( 0.15/0.36 $product(sF3,a) = sF4), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF4])],[function_definition])). 0.15/0.36 tff(f27,definition,( 0.15/0.36 sF18 = $sum(sF16,sF17)), 0.15/0.36 introduced(definition,[new_symbols(definition,[sF18])],[function_definition])). 0.15/0.36 tff(f7,plain,( 0.15/0.36 $sum($product(2,$product($product($product($product($product($product($product(a,a),a),a),a),a),a),a)),$product(-1,$sum($sum($sum($sum($sum($product(612,a),$product(-1,$product(a,a))),$product(-2,$product($product(a,a),a))),$product(2,$product($product($product($product(a,a),a),a),a))),$product(-2,$product($product($product($product($product(a,a),a),a),a),a))),$product(-2,$product($product($product($product($product($product(a,a),a),a),a),a),a))))) != 0), 0.15/0.36 inference(cnf_transformation,[],[f5])). 0.15/0.36 tff(f5,plain,( 0.15/0.36 $sum($product(2,$product($product($product($product($product($product($product(a,a),a),a),a),a),a),a)),$product(-1,$sum($sum($sum($sum($sum($product(612,a),$product(-1,$product(a,a))),$product(-2,$product($product(a,a),a))),$product(2,$product($product($product($product(a,a),a),a),a))),$product(-2,$product($product($product($product($product(a,a),a),a),a),a))),$product(-2,$product($product($product($product($product($product(a,a),a),a),a),a),a))))) != 0), 0.15/0.36 inference(flattening,[],[f2])). 0.15/0.36 tff(f2,negated_conjecture,( 0.15/0.36 ~$sum($product(2,$product($product($product($product($product($product($product(a,a),a),a),a),a),a),a)),$product(-1,$sum($sum($sum($sum($sum($product(612,a),$product(-1,$product(a,a))),$product(-2,$product($product(a,a),a))),$product(2,$product($product($product($product(a,a),a),a),a))),$product(-2,$product($product($product($product($product(a,a),a),a),a),a))),$product(-2,$product($product($product($product($product($product(a,a),a),a),a),a),a))))) = 0), 0.15/0.36 inference(negated_conjecture,[status(cth)],[f1])). 0.15/0.36 tff(f1,conjecture,( 0.15/0.36 $sum($product(2,$product($product($product($product($product($product($product(a,a),a),a),a),a),a),a)),$product(-1,$sum($sum($sum($sum($sum($product(612,a),$product(-1,$product(a,a))),$product(-2,$product($product(a,a),a))),$product(2,$product($product($product($product(a,a),a),a),a))),$product(-2,$product($product($product($product($product(a,a),a),a),a),a))),$product(-2,$product($product($product($product($product($product(a,a),a),a),a),a),a))))) = 0), 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.15/0.36 tff(f78,plain,( 0.15/0.36 spl21_9), 0.15/0.36 inference(avatar_split_clause,[],[f11,f75])). 0.15/0.36 tff(f75,definition,( 0.15/0.36 spl21_9 <=> $product(sF1,a) = sF2), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_9])],[avatar_definition])). 0.15/0.36 tff(f73,plain,( 0.15/0.36 spl21_8), 0.15/0.36 inference(avatar_split_clause,[],[f9,f70])). 0.15/0.36 tff(f70,definition,( 0.15/0.36 spl21_8 <=> $product(a,a) = sF0), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_8])],[avatar_definition])). 0.15/0.36 tff(f68,plain,( 0.15/0.36 spl21_7), 0.15/0.36 inference(avatar_split_clause,[],[f15,f65])). 0.15/0.36 tff(f65,definition,( 0.15/0.36 spl21_7 <=> $product(sF5,a) = sF6), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_7])],[avatar_definition])). 0.15/0.36 tff(f63,plain,( 0.15/0.36 spl21_6), 0.15/0.36 inference(avatar_split_clause,[],[f17,f60])). 0.15/0.36 tff(f60,definition,( 0.15/0.36 spl21_6 <=> $product(612,a) = sF8), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_6])],[avatar_definition])). 0.15/0.36 tff(f58,plain,( 0.15/0.36 spl21_5), 0.15/0.36 inference(avatar_split_clause,[],[f16,f55])). 0.15/0.36 tff(f55,definition,( 0.15/0.36 spl21_5 <=> $product(2,sF6) = sF7), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_5])],[avatar_definition])). 0.15/0.36 tff(f53,plain,( 0.15/0.36 spl21_4), 0.15/0.36 inference(avatar_split_clause,[],[f13,f50])). 0.15/0.36 tff(f50,definition,( 0.15/0.36 spl21_4 <=> $product(sF3,a) = sF4), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_4])],[avatar_definition])). 0.15/0.36 tff(f48,plain,( 0.15/0.36 spl21_3), 0.15/0.36 inference(avatar_split_clause,[],[f20,f45])). 0.15/0.36 tff(f45,definition,( 0.15/0.36 spl21_3 <=> sF11 = $product(-2,sF1)), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_3])],[avatar_definition])). 0.15/0.36 tff(f43,plain,( 0.15/0.36 spl21_2), 0.15/0.36 inference(avatar_split_clause,[],[f12,f40])). 0.15/0.36 tff(f40,definition,( 0.15/0.36 spl21_2 <=> sF3 = $product(sF2,a)), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_2])],[avatar_definition])). 0.15/0.36 tff(f38,plain,( 0.15/0.36 spl21_1), 0.15/0.36 inference(avatar_split_clause,[],[f27,f35])). 0.15/0.36 tff(f35,definition,( 0.15/0.36 spl21_1 <=> sF18 = $sum(sF16,sF17)), 0.15/0.36 introduced(definition,[new_symbols(naming,[spl21_1])],[avatar_definition])). 0.15/0.36 % SZS output end Proof for theBenchmark 0.15/0.36 % (12597)------------------------------ 0.15/0.36 % (12597)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.15/0.36 % (12597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.15/0.36 % (12597)Termination reason: Refutation 0.15/0.36 0.15/0.36 % (12597)Time elapsed: 0.013 s 0.15/0.36 % (12597)Peak memory usage: 28 MB 0.15/0.36 % (12597)Instructions burned: 19 (million) 0.15/0.36 % (12597)------------------------------ 0.15/0.36 % (12597)------------------------------ 0.15/0.36 % (12594)Success in time 0.057 s 0.15/0.36 EOF